{"text":"Question: What is 0.5354653 rounded to three decimal places?\nAnswer: 0.535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/((-630)\/432)*1\/4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 322 = -66. Let v be (2\/2 + o)*2. Suppose -4*d + v = -40. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -5 - 36*y + 15*y + 17*y. Let l(n) be the second derivative of n**3\/6 + n**2\/2 - n. What is -3*l(i) - z(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -36 - 24. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 104 = 2*a, 4*a - 70 = -3*t - a. Let s = -18 + t. Suppose -x - x - 3*w = 9, -2*x + 2*w + 6 = 0. Solve 0 = 2*d - x*d + s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**3 + 4*d**2 - 2*d - 1. Let b be a(-5). Let y = b + 10. Let r(u) be the second derivative of -u**4\/12 - u**3 + u + 10. Calculate r(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 104 or -3998574?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -26043*q + 32 = -26011*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 70.19018 millennia to decades.\nAnswer: 7019.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, 1025, 3\/2, -2.\nAnswer: -2, -2\/3, 3\/2, 1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/9, -18, 2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the third derivative of -m**6\/120 + 11*m**5\/60 + 11*m**4\/24 + 7*m**3\/3 + 10*m**2. Let o be w(12). Sort -3, o, 1 in increasing order.\nAnswer: -3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3 + 3. Let k = 121\/555 - 2\/111. Let a = -0.1 - 4.9. Put a, d, k in descending order.\nAnswer: k, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in sixty-one halves of a tonne?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -285*b - 1495 = -400*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/12 and -23\/128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -202223 - -2?\nAnswer: -202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -5*g**3 - 11*g**2 - 471*g + 4301. Calculate k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {t: 7, v: 2, x: 2, w: 6, r: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n. Let l = -2 + 2. Let d be y(l). Suppose 18 = 3*m - d*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1671855000 to the nearest 1000000.\nAnswer: -1672000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*k - 5*k - 9*k + 26*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 27, 3152?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add 5 and -41069286743.\nAnswer: -41069286738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/22600 and 87\/580820?\nAnswer: 5808200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 11*w + 1. Calculate the remainder when m(4) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 11*p**3 - 4*p + 4. Let v(z) = 88*z**3 - 33*z + 33. Determine -33*j(w) + 4*v(w).\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 7 - (-2 + (-4 - -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4619 - 4622. Let l(j) = j**3 + 3*j**2 + 4*j + 3. Let t(b) = 3*b**3 + 5*b**2 + 7*b + 5. Let d(m) = m + 11. Let z be d(-6). What is y*t(i) + z*l(i)?\nAnswer: -4*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 306 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2\/5 - 241672*q + 36503347240.\nAnswer: 2*(q - 302090)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -200*b = -191*b - 2*u + 9, 0 = 2*b - 2*u + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12.93 - 13. Let r = 5.1 + -9.8. Let d = -0.7 - r. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11604 and 706296?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -3) + -9 + 14 + -136 + 37 + 20?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/3 or 280\/669?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 67571321, 135142643, 202713967, 270285293?\nAnswer: 337856621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 458 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.16 - 7.84. Let s = -7 - j. Let w be ((-3)\/4)\/(3\/(-2)). Sort s, -2, w in decreasing order.\nAnswer: s, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 53.391 - -0.109. Let u = -54 + q. Let o = -3 + 2. Which is the second biggest value? (a) u (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:55 AM and 7:42 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -2*o**3\/11 - 628*o**2\/11 - 14206*o\/11 - 7540 = 0. What is o?\nAnswer: -290, -13, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z*z*(z\/z**(1\/3)*z)\/z)\/z)**(14\/5))**37\/((z*(z*(((z*z*z**(1\/4))\/z)\/z)\/z*z*z)\/z*z)**(-16))**(21\/4) assuming z is positive.\nAnswer: z**(1337\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 613.1094l to millilitres.\nAnswer: 613109.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 500\/112 - (-208)\/(-56).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -2*w + 3. Let l(v) = -5*v + 8. Suppose 3*y = -2*u - 28, -23 = 5*u - 2*y + 9. Determine u*m(a) + 3*l(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = -4*g - 12, g + 4*f + 1 = -11. Suppose 117*l = 123*l - 18. Which is the closest to 0.04? (a) g (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -33796*u - 57 = -33793*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59345.\nAnswer: 5, 11, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -31134 (base 5) in base 14?\nAnswer: -a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l**4\/9 + 1778*l**3\/3 + 329078*l**2 - 1990446*l + 2993652 = 0 for l.\nAnswer: -477, 3, 3138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*y = 16*y - 100. Calculate the lowest common multiple of 10 and (110 + y + 3 + 5)\/1.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.1 (b) 54 (c) 0.9548 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be 44\/(-4) - (1 + -3). Let a(r) = r + 13. Let v be a(g). Suppose -19 - 1 = -v*w, -10 = -n - 2*w. Solve n = y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20020221 - 102210?\nAnswer: -20200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 31139576 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55\/3*q + 200 + 1\/3*q**2 = 0. What is q?\nAnswer: -40, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 2 + 0)*(2*o + 0 + 0)*(-11*o**2 - o + 11*o**2 + 15*o**2) in the form b + f*o**2 + w*o**3 + g*o and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p. Let g(i) = -i - 3. Let r(b) = -6*f(b) - g(b). List the prime factors of r(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 5*f**2 - 2*f - 1. Let a be g(-3). What is the greatest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5 + -2 - -7) + (22 - 26) + 21?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9 - -22. Let y(r) = -2*r + 3. Let h be y(-5). What is the highest common divisor of h and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6355318176.\nAnswer: 2, 3, 22067077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minus 0.02319?\nAnswer: 3.97681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**3 + 8*t**2 + 8*t + 3. Let s be 29\/(-5) - 2\/10. Let z be c(s). Suppose 0 = -k + z + 18. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 37172599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2300\/690*24\/2240?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**2 + j - 1. Let k be i(1). Suppose 0 = 4*y + k - 13. Suppose -12 - 3 = -y*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2\/5, -0.39, 3, 14?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llyl when four letters picked without replacement from llyllllyllllllllyl.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t + 5*u + 20 = 0, -2*u = -3 + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1691?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) 0 (c) -1231 (d) -5 (e) 1 (f) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Do -31400437 and -31400432 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/((-2)\/1) + 20*(-217)\/(-620).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.063450062 or -1?\nAnswer: -0.063450062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 344094091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21505 + 16569 - 18274 - 508 - 21349)*(1 + 2*d - 1).\nAnswer: -90134*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*v - 373 + 213 + 4*v + 193.\nAnswer: -3*v + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*h = -20*h. Suppose -3*b - 3*o + 60 = 0, h = -2*b - b - 4*o + 58. Is 23 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggk when three letters picked without replacement from {g: 3, c: 2, k: 1, u: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 29498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y**3 + 13*y**2 + 15*y - 298. Calculate j(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 485 and 7857?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (209 - 148) + (-13 - -13) + -6 + -1\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*x**3\/5 + 234*x**2\/5 - 456*x\/5.\nAnswer: -3*x*(x - 76)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -7, -29, -55, -73, -71, -37?\n\"Answer: 2*o**3 - 14*o**2 + 6*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**3 - 8365*b**2 - 225126*b.\nAnswer: -b*(b + 27)*(b + 8338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 2*c + 2. Let x(t) = 4*t + t - 4*t - 3*t - 3. Let p(z) = -6*l(z) - 4*x(z). Let j(a) = 2*a. Calculate j(p(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = p + p. Let n = p - -16. Let q(b) = -5 + 5*b - 9 + n*b. Let w(v) = 7*v - 5. What is 6*q(s) - 17*w(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 58, -2\/19, 0, 2\/5, 0.14.\nAnswer: -2, -2\/19, 0, 0.14, 2\/5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - 324?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 54\/5 of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 333*-0.1.\nAnswer: -33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -16453650.9 rounded to the nearest 10000?\nAnswer: -16450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 21*i**2 - 2*i - 1. Determine w(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes after 4:58 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + -10122?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 - 12*s + 18. What is the least common multiple of f(11) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.3, -33\/2, 25055?\nAnswer: 25055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u + 3*a - 258, 2*u - 128 + 0 = -a. Let x = -25 + u. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57223?\nAnswer: 57223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 21.4 - 21.2. Let p = 0 + -1. Sort z, 2\/3, p.\nAnswer: p, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16281 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 5 + 3*i**2 - 2 + i - 3*i. Let g(d) = 2*d**2 - 2*d + 3. Let a(y) = 4*g(y) - 3*n(y). Let r be a(-3). Which is bigger: 2\/3 or r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**2 - 22*b + 10. Let v be y(0). Suppose -18*i + 3816 = -v*i. What are the prime factors of i?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 192747049 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*d - 3*b = 16*d - 27*d, -4*d + 8*b = 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -7c56da (base 15) to base 13\nAnswer: -1300519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -w - 8818, 0 = 4*w - 29 + 21. What is the lowest common multiple of 588 and p?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-72)\/21 - -4)*((-20)\/8 - -3). Which is the fourth biggest value? (a) p (b) -1 (c) -3 (d) -0.42 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.7569051 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -15*t - 491. Let g be c(-33). Let q(m) be the second derivative of 0 + 4*m**2 + 2\/3*m**3 + 2*m + 1\/24*m**g. Factor q(y).\nAnswer: (y + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 plus -3040201?\nAnswer: -3040206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 82 divide 9840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.168 rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3480.57ng in milligrams?\nAnswer: 0.00348057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 2*y = -10. Let s(h) = 16*h**2 - 1. Is s(y) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2008.6 - -2002.6. What is the nearest to -1 in 6, -2, w, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 325962 and 5970.\nAnswer: 1629810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -2*q**2. Let i(x) = 29833*x. Calculate y(i(a)).\nAnswer: -1780015778*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 162249 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**(-3)*u)\/(u\/(u*((u\/(u*(u\/(u**(-1\/2)*u))\/u))\/u*u)\/u)*u))\/(u\/(u**(-1\/2)\/u))**(25\/3)*(u**(-3)*u*u\/(u**0*u))**(-20) assuming u is positive.\nAnswer: u**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 192.08 + -192. Let b = y - 0.0799327. Round b to six dps.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 5*y**2 + 6*y + 10. Let j(a) = -7*a**2 - 11*a + 59 + 56 - 3*a**2 - 134. What is -6*j(f) - 11*n(f)?\nAnswer: 5*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zsceccclccecclclcep. What is prob of picking 1 z and 1 c?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/5 of a milligram in micrograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f + 1. Let w(a) = a. What is 6*h(t) + 5*w(t)?\nAnswer: -t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 1 - 0. Let t be 3999998 + 0 + 2\/s. Round t to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1674*0.1.\nAnswer: 167.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 77985 and -168?\nAnswer: -13101480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 121\/20 and 39\/1478.\nAnswer: 14780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.02 + -0.073. Let u = 7.053 + z. Let v = u - 5. Which is bigger: v or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-36)\/(-26)*78\/(-234) + (36520\/(-4810) - -8)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 331928 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 1 = t + 1, -12 = -4*t - 2*y. Suppose h = -t*h + 10. Suppose -h*k = k - 105. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-2)\/20)\/(2\/(-45)). Let w = 19\/12 - z. Does w = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 13*s**2 - 5*s - 5. Let v(l) = -19*l**2 + 7*l + 7. Suppose 2*p - p - 2*j = 1, -20 = -5*p + 5*j. Give p*f(c) + 5*v(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w + 4*w + 2*w)*(-158*w + 8 + 6 - 20 + 6) - 113 + 8*w**2 + 113.\nAnswer: -308*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4726603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/15)\/(26*(-24)\/(-160))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 24*r + 124*r - 1.\nAnswer: 148*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + 73?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n**(2\/3)\/n)\/n)\/(n**(3\/2)\/n))**(-4\/5) assuming n is positive.\nAnswer: n**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 + 525. Factor f*o + 4*o**3 - o**4 + 0*o**3 - o**2 - 538*o.\nAnswer: -o*(o - 3)*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is d73336 + -18?\nAnswer: d7331c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:56 AM and 5:21 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -77*c - 4*y = -81*c + 84, 103 = 5*c - 3*y. Suppose 2*i + i - 30 = 0. Calculate the smallest common multiple of c and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/2, 47, -0.3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 3*j - 6. Suppose 3*v - 3*q + 3 = 0, v - 5 = 4*q + j. What is the biggest value in 5, -5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*x**4 + 2*x**3 - 2*x**3 + (3 - 3 - 3*x**2)*(-47*x**2 - 3*x + 3*x).\nAnswer: 143*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 3. Let z(b) = 14. Let p(o) = 5*y(o) - z(o). Let i(n) = -76*n**3 + 6. Let s(c) = i(c) - 2*p(c). Differentiate s(h) with respect to h.\nAnswer: -228*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 312 + -4000431?\nAnswer: -4000114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -9*w + 1. Let p(z) = -z**2 - 40*z - 142. Let u be p(-36). Give k(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 856453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-2\/11))**(-2\/27)*(a**(2\/7))**(-43) assuming a is positive.\nAnswer: a**(-2852\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 - 6.05. Let i = 0.05000001 + r. Round i to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 4117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43195107 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1621752 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k - u + 13, -8 = 7*k - 5*k + 4*u. Let m(d) = 2*d - 7. What is m(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3650 is divided by 54?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2208\/(-10764)*-1*3\/(-12)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8697234 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide (7\/(56\/(-20)))\/(216411\/(-30914) + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = w - 0. Let x(h) = 6*h - 5. What is the tens digit of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 49900 + -30795. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14392.543 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {u: 1, j: 2, m: 1, t: 3, z: 3, i: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 63 + -68.4. Let u = -5 - k. Put u, 0, -2\/15 in ascending order.\nAnswer: -2\/15, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 12506?\nAnswer: -2\/6253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 30, 234, 792, 1884, 3690, 6390, 10164?\n\"Answer: 30*z**3 - 3*z**2 + 3*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is y in -3*y**2\/4 + 57*y\/2 = 0?\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5 + -59025b8?\nAnswer: -5902601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 65827565750 to the nearest 1000000.\nAnswer: 65828000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4 - (3 - 2)*1. Suppose -20 = -4*n, -n - 12 = w - m*n. Calculate the remainder when (-1 + 4)*(5 - w) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 62 - 126. Let h = 195 - a. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 23001 (base 5) to base 9\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 169550880 is divided by 1214.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ayyy when four letters picked without replacement from {c: 1, a: 8, y: 4}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 + -4. Let h(p) = p**2 + 6*p + 7. Let w be h(-4). Let x be w*(2 - (-112)\/(-52)). What is the second biggest value in x, 3, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 8463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -433102 + 4304?\nAnswer: -424354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k + 9*k = -33*k + 29*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 28*g - 14. Let b(p) = -11*p + 6. What is 12*b(x) + 5*y(x)?\nAnswer: 8*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4550 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2732, 2754, 2814, 2930, 3120?\n\"Answer: 3*k**3 + k**2 - 2*k + 2730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -97 - -97.1. Which is the closest to x? (a) 0.2 (b) -0.2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 64 - 56 = 0. Let x be ((-12)\/j)\/((-22)\/10). Let o = 0.3 - 0.4. What is the closest to o in x, -0.3, 2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6275 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, f: 5, c: 7}. Give prob of sequence ffff.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3 - 10547683046819.\nAnswer: -10547683046819.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -39834*l*z**3 + 3251*l*z**2 - 358*l - 14*z**5 wrt z?\nAnswer: -239004*l - 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (9\/27)\/(2\/(-30)). Let d(t) = 7*t + 7. Let m(x) be the second derivative of -x**3 - 3*x**2 - 11*x. Determine w*d(v) - 6*m(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 400 + 676*x**2 - 400.\nAnswer: 676*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 119286 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u + 6. What is the remainder when 188 is divided by d(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000054812806 rounded to six dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.5598650041 to 5 decimal places.\nAnswer: -0.55987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -184754*b + 369513. What is a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 115 is divided by 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 94 divide 75452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 352728 and 1136?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 175 divide 251825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be 896\/960*(-1)\/5. Is 2\/15 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 99\/604 and -49\/70970?\nAnswer: 141940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(242) + 2 + (sqrt(242) - ((sqrt(242) + sqrt(242) + 1 - sqrt(242)) + 1)))**2*4.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (-2 - -4)\/2*449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**2 - d - 1. Let p(s) = 699*s**3 + 17*s**2 - 689*s**3 - 28*s**2 - 1 + s + 11*s**2. Calculate p(c) - r(c).\nAnswer: 10*c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 + 1. What is the lowest common multiple of 4*(-2 + 2 + o) and 2\/(-4) - 1\/(2\/(-13))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 2, -193, 0 in descending order.\nAnswer: 2, 0, -7, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7036880, -14073742, -21110604?\nAnswer: -28147466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) 0 (c) 2662 (d) 4\/3 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 15178235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -2024 (base 6) to base 8.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -10537 = 627*l + 1376 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -114636, 3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = b - 20. Suppose -3*t = -2*o + 46, -b - 4 = -o + 3*t. Solve 3*y - o = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 11*o = 26160000. What is o rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.05 and 0.4.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -q**3 + 2*q**3 + q**3 + (-15*q + 109*q + 36*q)*(6*q**2 + q**2 - 3*q**2) to the form x*q**2 + f*q + p*q**3 + m and give p.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 168 = 4*t + 17*b - 21*b, -2*t + 3*b = -80. Calculate the remainder when 95 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 392 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) 0 (c) 889389 (d) 77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -47667 - -68078. List the prime factors of h.\nAnswer: 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 619 + 27*z - 18*z + 351 + 164 - 73 to the form t + k*z and give t.\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -32, -2, 5, 57, 1, 4 in descending order.\nAnswer: 57, 5, 4, 1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6387*a**5*d + a**3*d - a**2*d + 3*a**2 - 14*a*d + 2*d wrt a?\nAnswer: 383220*a**2*d + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0*(3\/9 + 0) + 6. What is the greatest common factor of k and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 2*m**2 - 4*m. Let h(c) = c**2 - c. Let r(t) = -4*h(t) + x(t). Let y(g) = -381*g**2. Calculate y(r(s)).\nAnswer: -1524*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*m**2 - 1396*m + 1400.\nAnswer: -4*(m - 1)*(m + 350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -0.4, 0.3, -3\/37?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d - 2*d + 2 + d**2 - 3 + 2*d + 11*d**3. Let q be k(-1). Let r be ((-6)\/(-45))\/(8\/q). Is 1 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 3*z - 2. Let v be p(2). Let q be ((-6)\/(-9))\/(2\/6). Solve -4*d - v*n = -8 - 4, -9 = q*d - 3*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 - 102212?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 388*r**2 - 873*r**2 + 485*r**2 + 162 - 162 - 11*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 33537356 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 977 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 2*t**3 - 8*t**2 - 3*t + 15. Let v be k(4). Find the third derivative of -3*i + v*i**2 + 2*i**2 + 101*i**5 + 2*i**4 - 6*i**2 - 4*i wrt i.\nAnswer: 6060*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -80\/3 - -27. Let d = -0.68 - -0.08. Let l = 0.4 - d. Are l and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -4*o**2 + o - 3. Let r(l) = -l**2 + l - 1. What is n(p) - 3*r(p)?\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 3 + 3 + j)*((-1 - 2 + 1)*(-2 + 0 + 1) + 3 - 2 + 2 + (-1 + 5 - 2)*(3 - 1 + 0)) to a + r*j and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-7)\/(42\/292)*(-5 - -2). Suppose -140*n = -a*n + 2922. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*o**2 - 4220444*o - 135058304.\nAnswer: 4*(o - 1055143)*(o + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6804 and 1638.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 101*n + 94 - 296 = 0. Let h = -15 + 15. Solve 0 = 3*v + 4*i - n, h*v - 2*i = v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19122342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 272*m + 2 - 601 = -34*m + x, 0 = -3*m - 2*x + 32 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3\/316267 or -1?\nAnswer: 3\/316267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -1254873 and 125.\nAnswer: -156859125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -787, -789, -791, -793, -795?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 28 and -18*((-202)\/18 - -11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 95.12473 tonnes?\nAnswer: 95124730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1208\/(-6))\/(-4) + 12\/(-36). Suppose 3*g = -15 + 30. Suppose -3*b + 2*b - 13 = -j, g*j = b + 53. Calculate the greatest common factor of w and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of (-8400)\/(-315)*402\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 33 and 396.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 16*g**2 + g - 1. Let h be w(1). Suppose -3 = -13*s + h*s. Let b be (-49)\/(-4) + s\/4. Calculate the highest common factor of b and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 617 divided by -1\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 45 (c) -256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c**4\/11 + 6*c**3\/11 - 18*c**2\/11 - 54*c\/11 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4378 + 7398. Suppose 0 = s - 0*c - 2*c - 770, 4*s - q = -4*c. Calculate the common denominator of s\/18*(-3)\/(-8) and 25\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -k**3*m**2 + 944*k**3 + 2080*m**3 wrt m.\nAnswer: -2*k**3*m + 6240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3808 and 6310094.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 334140231 - 12?\nAnswer: 334140214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate v**2 + 22535 - 77*v - 98*v - 21245 - 574*v with respect to v.\nAnswer: 2*v - 749","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 - -6. Let t = w - -1. Suppose -5 = t*d - 2*c, -6*c + 20 = 4*d - 2*c. Is -1\/3 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.966? (a) 18\/11 (b) -1\/4 (c) -0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t - 2. Suppose 0 = 4*c + 5*x - 36, -2*x + 12 = 2*c - c. Suppose -s = 5*q - 5*s + 9, 2*q - 2 = -c*s. Give a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i. Let c(q) = q**3 - 4*q**2 + 8*q + 4. Let k be 1 + -3*(-2)\/(-3). Let p(z) = k*c(z) - 5*o(z). Give p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 113854 and 10673?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -610 + -0.42?\nAnswer: -610.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 29965150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 407 or 6086\/15?\nAnswer: 6086\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 44732190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is (130\/15)\/((-4)\/(-42)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(21) - 2*sqrt(1344))\/(sqrt(3) + (sqrt(3) - 2*sqrt(3))*-5).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 12 + (726 + -739 - ((8 - 1) + -1)) - 14\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 14, -0.3, 41?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -3225110 (base 6) to base 16\nAnswer: -26e02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the third derivative of 4429*l**7\/210 + 235*l**5\/12 + l**4\/6 - 2*l**2 + 369*l - 4. What is the third derivative of t(u) wrt u?\nAnswer: 106296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes after 12:50 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is z in z**5\/5 - 14337*z**4\/5 + 51380223*z**3\/5 + 51394561*z**2\/5 = 0?\nAnswer: -1, 0, 7169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 4, d: 7, b: 2}. Give prob of picking 2 d.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.41 + -0.02. Let b = 0.29 - 0.3. Let u = h - b. Round u to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -c - 22, -a - 5*c = -0*c + 6. Solve 3*b = 5*z + 34, -2*z + 1 = 5*b - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (6\/8)\/(2\/(-8)). Let z be (-3)\/(s\/(-6) - -1). Is -3 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6\/4*(30\/9 - 0). Suppose 5*o = 4*y + 30, 3*o - 13 = -f*y + 5. What is the greatest common factor of o and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + z = -2*z + 8, -r - 15 = 5*z. Which is smaller: 7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 70 minutes before 8:36 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Solve -3*g = 4*m + 5453 - 5477, -5*g + 23 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r - 7. Let k be j(0). Let q = -42 + 54. Let c(z) = -35*z + 16*z + 18*z - q. Give c(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -71813 (base 9) in base 8?\nAnswer: -134324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 26 (b) -5 (c) -0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*a + 2*a - 2*a)*(a - 2*a + 0*a) - 3*a**2 + 0*a**2 + 2*a**2 - 473*a + 933*a - 458*a - 24*a**2 + 8 to q*a + u + p*a**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 4*v + o + 3*o, 3*v - 3*o = 12. Let n = -135.6 + 135.5. Which is the closest to -2\/5? (a) v (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3315047 - 141907.\nAnswer: -3456954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 5*r - 1. Let h be m(-3). Let f = 10 - h. What are the prime factors of f\/3*(-1 - -7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -58503, -58518, -58535, -58548, -58551?\nAnswer: -58538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 170656648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 6, -3*m = -i - m - 3. Let l = -9604.9 - -9605. Which is the closest to i? (a) 2\/17 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1.38, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*j + 3*j - 29*j**5 + 20*j**5 wrt j.\nAnswer: -180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1\/4, -1453, -1788?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-9)\/(-12))\/(-1) - (-588)\/(-112). Is -44852*24\/16*2\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 258748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1234 + 1238. Solve n*b = 5*w + 20, 3*w - 4*w + b = 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 8 = -3*x, -u + 10*x - 5*x + 16 = 0. Let v = -58 - -63. Sort -5, v, u in decreasing order.\nAnswer: v, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 112.4 - 109.4. Put c, 0.3, -11, 2, -4 in descending order.\nAnswer: c, 2, 0.3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57 = 6*q - 3*q. Suppose 11*l - 7*l - 55 = -3*y, 0 = -2*l + 9*y - 67. Calculate the remainder when q is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 8 - 8 + 6*i in the form v*i + z and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*k**5*o**3 - 11*k**3*o**3 + 3*k*o + 22*o**3 wrt k.\nAnswer: 120*k**3*o**3 - 66*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 9 (b) 4 (c) 0 (d) 1\/5 (e) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -25*w + 16. Let a(j) = 61 - 3*j - 59 + 0*j. Let i(m) = -51*a(m) + 6*l(m). Calculate the remainder when 34 is divided by i(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 211983233*z**2 - z**3 - 211983233*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 11:05 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**2 - 5*z - 10. Let f be v(-8). What is the common denominator of f\/70*(0 + (-5)\/(-2)) and (-709)\/(-56) - 2\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 29*l - 1. Let i(c) = -c. Calculate i(z) + w(z).\nAnswer: 28*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 133143398 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 - 2. Suppose 3*o - 3 = 3. Solve -2*d = -10, -3*u + 4*d - o*d = -w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 38 divided by 101\nAnswer: 38\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 + 2)*((59 - 0) + -2). Let p = d + -21. Calculate the remainder when 69 is divided by p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 370 - 189. Suppose h = -2*n + 289, 2*n - 120 = 3*h + m. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 299038053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-32)\/(-3))\/(-4)*((-159)\/(-5936))\/(3\/(-7))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -l - 5*g = 15, 3*l - 5*l + 415799*g + 12 = 415788*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (m + 0*m - 2*m)*(-3*m + 0*m + 4*m) + (-2*m + 4*m - 4*m)*(-2 + 32*m + 14*m - 27*m).\nAnswer: -39*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1119, 1234, 607, -1134, -4361, -9446?\n\"Answer: -62*r**3 + r**2 + 546*r + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes before 12:57 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*y**2 + 44*y**2 + 20*y**2 - 14*y**2.\nAnswer: 46*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqiq when four letters picked without replacement from {q: 9, i: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/11, 10, -2, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together 22.6 and -77.\nAnswer: -54.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-26)\/1 + 1 + 2. Let z = x + 14. Let s be (1\/9)\/((-3)\/z). Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 - 0)\/(1 + -3). Let o(a) = 1. Let q = 15 - 9. Let b(d) = 2*d**2 - 4*d + 8. Let f(r) = q*o(r) + s*b(r). Factor f(y).\nAnswer: -2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6*6\/330*11)\/(1*-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24495020.\nAnswer: 2, 5, 11, 111341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q + 48 = -4*i, 382*q - 38*i - 544 = 380*q - 122 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*i + 36*i**3 - 3*i**2 + 22*i**3 + 39*i**3 - 412*i**4 + 414*i**4 to h*i**3 + s*i + v*i**2 + n + m*i**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be (8\/(-6))\/(8\/(-12)). Let t(k) = 4*k**3 - 4*k**2 + k + 2. What is the tens digit of t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5718*h**4 - 18372?\nAnswer: -22872*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3.5 and -11.567.\nAnswer: -40.4845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/78*-26*420\/(-14560)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.03 - -127.67.\nAnswer: 127.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23512 is divided by 4697.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10919\/42 + 1821\/7. Determine z, given that 0*z - 1\/6*z**2 + c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3 + (-102)\/30 - (-57)\/5. What are the prime factors of 2*((-131)\/(-2) + (9 - v))?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -174.81 + 175. Is -1.4 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-110)\/(190\/19) + 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -201 (b) 0 (c) 30\/47 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i = -5*w + 17, -4*w - i - 131 = -148 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 957 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 - 5*w**2 + 2*w - 10. Let a be i(5). Solve 2*d + 3 = s, 3*d + a*d + 3 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20022011112 + -112000?\nAnswer: -20022200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 614925 by -8199.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(864)*2 + sqrt(24) + sqrt(24))\/(sqrt(432) + 2*sqrt(432) - sqrt(432)).\nAnswer: 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -100671*b**4 - 4*b**2 - 26*b + 9 wrt b?\nAnswer: -2416104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -210.8 - -211. What is the third smallest value in j, -39, 4, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k = 6*k + 297. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(528)\/(sqrt(132)\/sqrt(396)))\/(sqrt(20)\/(sqrt(20)\/sqrt(4)) + sqrt(4) + (sqrt(4) + sqrt(64))*-1))**2*4.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 5*v + 4. Let f(z) = 6*z + 6. Let m(l) = 2*f(l) - 3*u(l). Let x(q) = -54*q**2 + q. Calculate x(m(i)).\nAnswer: -486*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(152) + sqrt(152)*-1))\/(sqrt(392)*-2) + (sqrt(19) + sqrt(2299) - sqrt(19))**2 + -2 + ((sqrt(19)*2)**2*3 - sqrt(19)).\nAnswer: -sqrt(19) + 2525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 542.3 + -542.7. What is the third biggest value in -0.3, 0, c, -8\/3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c - 4, 0 = 5*d - 4*c - 242. Let i = d + -32. Calculate the highest common factor of i and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(-5) + (-96)\/(-20). Suppose s + 24 = g*v, -4*v = -5*s - 7 - 8. Let h = 0.3 + 0.1. Which is the second smallest value? (a) -3 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 - 4. Suppose 5*d + 72 = 117. What is the remainder when d is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 134748.5 millennia to years.\nAnswer: 134748500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 - 1. Let y be 0 - (-5)\/(90\/4). Let s = -17\/36 + y. What is the nearest to g in s, -0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2034 and 7037979.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -3*q**2 + 5427*q - 191484 = 0. What is q?\nAnswer: 36, 1773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the third derivative of 3*l + 1\/90*l**5 + 6*l**2 + 0 - 2\/3*l**3 - 1\/360*l**6 + 11\/72*l**4. Factor y(p).\nAnswer: -(p - 4)*(p - 1)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -207*b = -204*b + 21 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 34703 or 34706?\nAnswer: 34703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 0 - 2)*(0*j**2 + 0*j**2 + 3*j**2)*(-1215*j - 122*j - 3533*j) to f*j**2 + l*j**3 + x + t*j and give l.\nAnswer: -14610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 329 = -343*u + 1078 + 1652 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 75563466.\nAnswer: 2, 3, 11, 1144901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 5 = t + 2*p, 0 = 5*t + p - 11. Suppose -2*g = t*d - 4, 2*g + 2*d + 2*d - 2 = 0. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + 37 + 15 - 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**3 - 12*p**2 - 419*p + 5552. Calculate m(15).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be 506 + 6\/10*(-360)\/(-36). Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 2)*(5*q**5 - q**5 - 2*q**5) - 113*q**4 - 25*q**5 - 114*q**5 + 113*q**4.\nAnswer: -137*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 5 + 2)*((2 + 0 - 4)*(0*o + 0*o + 2*o) + 2*o + 6*o - 6*o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/(-10) - (-832)\/40. Suppose 0 = -f - t + 25. Solve 3*p + 16 = -f*m, 0*p + m + 4 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-10)\/(-60)*2*288. Solve -99*n = -w*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 2 x when three letters picked without replacement from {t: 1, x: 2, p: 1, z: 1, n: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = -z + 6. Let f = 0 - z. Solve k = 3*u, 5*k - f = -u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 196349124.\nAnswer: 2, 3, 16362427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of g**3\/3 - 3*g**2 - 3*g + 10. Let q be h(6). What is the remainder when q\/(-2) - (-344)\/16 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or 0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (44 + 4)\/(-3)*(-507)\/26?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4023643 divided by -23?\nAnswer: 174941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 0.3 (c) -1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 239 and 9799.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 192268373?\nAnswer: 11, 2617, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1137975.88 rounded to the nearest ten thousand?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 364 is divided by 93.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 130*s + 4*s**2 + s + 116*s**2.\nAnswer: 120*s**2 + 131*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*k**2\/3 + 1084*k\/3 - 104 = 0. What is k?\nAnswer: -39, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -303, -1\/5, 0.9?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the second derivative of q**3\/6 + q**2\/2 - q + 242. Let p(a) = -2*a**3 + 2*a + 1. Determine -2*h(x) + p(x).\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -56299*d + 56295*d - 3*r = -37, -3*d - 5*r = -80 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n - 6. Let h be t(-11). Suppose 4*b + 1289 = h*q, q + 2*q - b = 772. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 90, 2, -1 in increasing order.\nAnswer: -1, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + 704\/(-144))\/(4\/(-36)). Solve -w*f = 66 + 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37 + -26 - ((-1 - -1) + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - 0. Suppose 2*m + 7 = 1. Let d(k) = -k**2 + 15*k - 30. Let s be d(13). Put s, m, w in descending order.\nAnswer: w, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -5, -3, 4, 17917619 in descending order.\nAnswer: 17917619, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be 27\/(-33) + 3 - -8*(-9)\/396. What is the nearest to -0.4 in -0.1, -1\/9, 10, b?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 244*w**2 - 67*w**2 - 44*w**2 to the form n*w**2 + u*w + x and give n.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -339, -395, -163, 363, 1189, 2321, 3765?\nAnswer: 5527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 28b1e (base 15) to base 8\nAnswer: 377302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yoo. Give prob of sequence yo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 2620*z**3 + 6*z**2 - 4*z - 1. List the prime factors of v(1).\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of j**5\/80 + j**4\/48 - j**3\/24 - 5*j**2. Factor d(a).\nAnswer: (a + 1)*(3*a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -6 + 2\/(-4)*-2. Let z be (-5 + (-28)\/(-6))\/(2\/(-6)). Which is the closest to z? (a) j (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -27*a**3*r**2 - a**3 - 73*a**2*r**2 wrt a?\nAnswer: -162*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -16 + 20. Let o(p) = -36*p**2 + 37*p**2 - k + 4. Let s(u) = 13*u**2. Give s(o(r)).\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2 - 2.458?\nAnswer: -1.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kekkkkkeekkk. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = 5*a - 29, 5*o + 3*a - 2*a - 19 = 0. Let 0*i**3 + 16*i**2 - i**3 + 5*i**o = 0. Calculate i.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1277, 2554, 3831, 5108, 6385?\nAnswer: 7662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -625*q - 626*q - 71 + 1252*q + (-5 - 2 + 5)*(6 - 6 + 5*q).\nAnswer: -9*q - 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 58174, 58175, 58176, 58177, 58178?\n\"Answer: d + 58173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -31 in 0.04, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -1777*d + 5. Let k be z(-3). Let i(a) = a + 2. Let b be i(4). Suppose 14*j = b*j + k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1*((-40)\/(-2))\/(-2). What is the highest common factor of f and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**2 + 2*f + 26. Give j(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 86315, 172396, 258477, 344558?\n\"Answer: 86081*d + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 192002.9 centimeters?\nAnswer: 1920029000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 + y + 1. Let u(x) be the third derivative of -x**5\/60 - x**4\/12 + 65*x**2. Let l(c) = 3*p(c) + 2*u(c). Give l(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2101071481.\nAnswer: 2101071481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*p - 96 = -22*p - 21*c, 33 = -2*p + 3*p - 5*c for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y**3 - 17*y**2 + 48*y + 64. Calculate the smallest common multiple of 356 and n(13).\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 133498.\nAnswer: 2, 66749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -63\/190 and -47\/1940.\nAnswer: 36860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 6 = -2*k, -4*q - 1 = -k + 4*k. Let g(h) = 10*h**2 + 6*h. Let t(o) be the second derivative of 3*o**4\/4 + 5*o**3\/6 - 4*o. Give k*g(m) - 6*t(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*j**2 + 2*j**2 - 3*j**2 - 21*j - 8*j - j**3 to the form x*j**2 + s*j**3 + p + g*j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1\/14, 10\/9, 0.06, -2\/3, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 - (9 + (3 - 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, e: 3, v: 3}. What is prob of picking 2 e and 1 v?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -2*s. Let y(r) = -4*r**2 - 3*r - 393. Determine w(y(j)).\nAnswer: 8*j**2 + 6*j + 786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -129*d**3\/5 + 372033*d**2\/5 - 363003*d\/5 - 147033 = 0. What is d?\nAnswer: -1, 85\/43, 2883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 72 + 2 + (-1208 - -1155).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.05 + 0.05. Suppose 23 = -3*b + 5*b - 5*w, b = 3*w + 13. Let y be 7\/b + 12\/(-8). Is y greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**2 + 15*o - 8. Calculate s(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {p: 11, g: 3, u: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 14) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(16\/5)*k\/k**(-3\/10))\/(k**(-2\/27)*k*k*k)**7 assuming k is positive.\nAnswer: k**(-863\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -93, -71, -39, 9, 79, 177, 309?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d. Let v(l) = l**2 + 6*l - 1. Let a(f) = v(f) - 4*y(f). What are the prime factors of a(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1da93c + -4?\nAnswer: -1da941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 142733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange m**3 + 4*m + m**4 - 966697*m**2 + 966697*m**2 - 1 to the form v*m**3 + z*m + r + j*m**2 + w*m**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(10)\/sqrt(2) + 1)*6*2.\nAnswer: 12 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*q + 4*q + 0*q)*(2 + 3 - 2)*(15*q - 15*q + 7*q**3) - 44*q**2 + 5*q**4 + 44*q**2 to the form j*q + h*q**4 + n*q**3 + s + i*q**2 and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 12 = -a. Let k be -6*((-8)\/a)\/2. Suppose i - 5*i + 176 = 0. What is the highest common factor of i and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-17)\/((-1275)\/(-45)))\/((-10)\/100*-12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -3*(sqrt(833) - sqrt(833)*-1)**2 + ((-4 + (sqrt(833) + -2*sqrt(833) - sqrt(833)))*5)**2 + 5.\nAnswer: 2800*sqrt(17) + 73713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 13279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g**2 - 17*g + 19. Let l be w(14). Let x(k) = k**2 + 21*k + 16. List the prime factors of x(l).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-2*sqrt(88))\/((sqrt(32) - (sqrt(96)\/sqrt(3) - sqrt(32)))\/sqrt(4)) - (sqrt(4400)*-2)**2*5)*4.\nAnswer: -352000 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 2*x. Let b(q) = q**3 - 5*q + 5. Let n be b(2). Let j(k) = -n + 3 + 14*k - 9*k. What is j(l(d))?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 686 a factor of 45139341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2100 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-402)\/(-1809) + ((-2)\/(-9))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-2)\/(-2)*(8951 + (-11 - 17)).\nAnswer: 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-304)\/(-1596) + (-2 - (-5)\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 3561 divided by -1187\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 63, 53, 43, 33, 23?\n\"Answer: -10*l + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 2*j**2 - 13*j + 12. Determine p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 - (-11 + (-12 - -18) + 83)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4480901?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 73227 and 16167.\nAnswer: 1244859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1344, 2690, 4036, 5382, 6728?\nAnswer: 8074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -107*d - 2842 - 6039 = 0 for d.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.1 (b) 4\/11 (c) -1 (d) -0.1 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**2\/7 - 432*t - 9099\/7.\nAnswer: 3*(t - 1011)*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, -3, -133, -0.3, 10.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-5)*(-771510)\/(-12). Suppose 0 = 5*k - y + 140217. What is k rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 25*n + 21*n + 138 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -26556, -26570, -26588, -26610?\n\"Answer: -2*c**2 - 8*c - 26546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the first derivative of 6*i**2 + 27. Let l(s) = -2*s. Determine b(l(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand w**2 - w**2 - w**2 + (-2*w + 1 - 1)*(-24 - 17*w + 24) + (-1 + 1 - 1)*(-3*w + w**2 + 3*w).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -35 - 34 - 32 + 2*v + 90. Let d be y(11). Solve 0 = 4*q + d - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (i**4 - 2*i**4 + 0*i**4 + 2*i)*(5 + 2 - 1)*(i - i - 4*i).\nAnswer: 24*i**5 - 48*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/2307264 and 37\/27687168.\nAnswer: 27687168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(243) + 1)**2)*-4*-4.\nAnswer: 288*sqrt(3) + 3968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 122 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 776401*u**2 + 2*u - 37. Let g be t(5). Suppose -7*i + 2*i = 2*l + 32349996, l + g = -3*i. Round i to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*z**2 - 131 + 65 + 5*z**3 + 64 + 2*z in the form v*z**3 + y + a*z**2 + q*z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 1226*d - 61870 + 18960 = 0 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16928136 is divided by 458?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -2*x + 3*x + 1 - 4*x. Suppose 0 = -4*t + 2*t - 10. Let o(l) = -4*l + 1. Let d(f) = t*o(f) + 6*v(f). What is the derivative of d(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.92591 - -0.07409. Let v be (-2)\/6 - 15\/9. Let j be (4\/6)\/(v\/3). Which is greater: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 319 divide 27953711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 5*d = -340, 2*d = -2*j - 3*d + 143. Let v = j - 72. Let i(w) = -w**3 - 4*w**2 - 4*w - 1. Calculate the least common multiple of i(v) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the third derivative of c**8\/1008 - c**7\/90 + 13*c**6\/360 - c**5\/180 - 7*c**4\/36 + 4*c**3\/9 - 5*c**2 - c. Solve h(r) = 0 for r.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3240 (base 5) to base 2.\nAnswer: 110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 + 1. Find the first derivative of -4 - 6*y + h + 0*y + 2 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3756\/(-4695))\/(6\/1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do 499 and -0.05 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 59 + 62 + -29 + -43?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -3*n - 18. Let l be x(-7). Which is the biggest value? (a) -3 (b) -6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27423396 a multiple of 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 3*l - 45 = 0, -5*l = 2*d - 0*d - 9. Suppose -d = -3*q + 3*m, 3*q - 31 + 15 = -m. Let k = -5 + 7. Solve -2*o = 3*o + 4*b, k*o = q*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = i + 15. Let u be (-24)\/18 + (-4)\/i. Suppose 6*j = 4*j - 6, -5*y - 2*j + 4 = 0. Solve u = -y*w + 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2491 - -2891. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -223 - -189. Let s = -34 - k. Let j = 5 + -8. What is the nearest to s in j, 1\/2, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1165933 is divided by 834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68723885.\nAnswer: 5, 23, 597599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -1460426 (base 8) to base 14.\nAnswer: -ac502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:42 AM and 10:28 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 69 - b?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.015161 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6048403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-988)\/(-86697))\/(1\/21*2). Let a = o - 1426\/4095. Calculate the common denominator of -29\/30 and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-614)\/(-18420))\/(3\/4950)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72*s**2 - 69*s**2 + 136*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-1)\/2 - (-51)\/90) + 48625\/(-766875). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -51*n**3*y + 225*n**3 wrt y.\nAnswer: -51*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + (31 - (-7 - -40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 148898*h - 148920*h = -1210 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 40, -9, 72 in descending order.\nAnswer: 72, 40, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**7\/(((a\/(a**(-1)\/a))\/a)\/a))**37*((a*(a\/a**(-4\/3))\/a)\/a**2)**(-13) assuming a is positive.\nAnswer: a**(653\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010000001100 + 110100000011100?\nAnswer: 1000110000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the first derivative of c**4\/2 + 20*c**3 - 31*c**2 + 107. Let x(o) = 0. What is o?\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the second derivative of 5*y**3\/6 + 3*y**2\/2 + y. Let l(h) = h**2 - 4*h - 2. Let g(a) = -2*f(a) - 3*l(a). Find the second derivative of g(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -9 or 380\/991?\nAnswer: 380\/991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + 2 + -10 + 0 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 - -640523?\nAnswer: 640519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6797, 13593, 20389, 27185?\nAnswer: 33981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from krkdnkkrrnrrddrkek. Give prob of picking 4 r.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -203745*q**2*y**3 + q*y**3 - 699*q*y**2 + q*y - 9*y**2 wrt q?\nAnswer: -407490*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 47, -0.2, 2\/7, -5, -1\/87.\nAnswer: -5, -0.2, -1\/87, 2\/7, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, -22, 1\/14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1417, 2831, 4247, 5665, 7085, 8507, 9931?\nAnswer: 11357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 16473, 33113, 49753, 66393, 83033, 99673?\n\"Answer: 16640*w - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -20*p + 23. Let m(w) = w - 392. Determine t(m(x)).\nAnswer: -20*x + 7863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 - 5. Let d be (-39)\/(r + 4) + -4. What is the second derivative of 2 + 8*u - 2 - d*u**3 - 16*u wrt u?\nAnswer: -54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 157038 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 - 7. Let f = g - -2. Suppose -h + 10 = f*p, -5*p + 4*h = 5*h - 22. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11 - -18. Let i = p + -11. Calculate the remainder when i is divided by 3\/(2 - 15\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 537 + -4a7c7?\nAnswer: -4a290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 468*d + 122. What is the hundreds digit of u(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.078, -583, 0 in decreasing order.\nAnswer: 0, -0.078, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65*h - 63*h + 280 = 3*t, -70 = -t + 4*h. What is the highest common divisor of t and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -61*s + 33*s + 15092. What is the remainder when s is divided by 111?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v + 11 = -z, 4*v + 21321 = -2*z + 21389 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -3\/4 (b) 2 (c) 4 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-53 - -43) + 2*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + w + 3)*(4 - 5 - 2)*(3*w**3 + 5*w**3 - 2*w**3 + 0*w**3 - 2*w**3 + 5*w**3 + (-w - 2 + 2)*(-2*w**2 - 2 + 2)).\nAnswer: -33*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1160)\/(-28) - (-157)\/(83524\/(-760))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 88743119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 18 = -0*l + a, 19 = 5*l - 2*a. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**2*s\/(((s**(-1\/4)\/s)\/s*s)\/s)*s)**29\/((((s\/s**(-3\/7)*s)\/s)\/s*s*s\/s**(-2))\/(s**(-2)*s*s**(-2\/9)*s)) assuming s is positive.\nAnswer: s**(22579\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 1 + 2*i)*(-2 + 1 + 2) + 2*i - 5*i - 6*i)*(-7*i + 9*i - 3*i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 45 - 116?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -2*w - 5*o, 0*w = 2*w - 2*o. Let p be 20\/(-15)*9\/(-2). Solve f - 3 = w*f + l, -2*l - p = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 + 3. Suppose -6*m = -3*m. Let g be 1*(-6)\/(m + -2). Solve -2*v = 6, q = -g*q + s*v + 32 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 277558*i**5*z**2 + i**5*z - i**2*z - 282992*z**2 + z wrt i.\nAnswer: 16653480*i**2*z**2 + 60*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 2*l**3)*(3 + 19 - 2).\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 + 3*t**2 + 4*t. Let d be z(-3). Let c be ((-8)\/3)\/(d\/18). Solve -j - 2*v + 3 = -c*v, 3*j + 3*v = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/14302 and -1\/4.\nAnswer: 28604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6054\/233 + 12274973\/471126. Find the common denominator of 43\/22 and n.\nAnswer: 22242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 116183 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 68, 33, 12, 11, 36?\n\"Answer: s**3 + s**2 - 45*s + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (5 + (-18)\/12)*(25\/(-91) - (-37)\/259)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/((9\/(-1272))\/((-161)\/1288))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -5 + 3 + 3 - 6*f - 2 as j*f + k and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be -12 + 16\/(-6)*(-24)\/16. Let t be ((-28)\/(-13) - 1) + n\/52. Let x(g) = 7*g**3 - 3*g**2 + g. What is the units digit of x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h and 1 p when three letters picked without replacement from phpphpphhppppp.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -173330 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 156409181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3148 - 3149. What is the second smallest value in d, 11, 4, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29818 less than -61?\nAnswer: -29879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 1606.1067us to hours.\nAnswer: 0.00000044614075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 35*v**2 - v + 45. Let h(k) = -5*k. What is h(i(c))?\nAnswer: -175*c**2 + 5*c - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 AM and 8:32 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0003669794 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes before 2:19 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 13 - 18. Let i be n*-6*3\/(-30). What are the prime factors of (i + 1)\/(-1) + 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 63*w. Let i be (-2)\/10 + (-80)\/100. Let s(v) = -2*v - 2. Let z(u) = 11*u + 12. Let m(c) = i*z(c) - 6*s(c). What is p(m(n))?\nAnswer: 63*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -11, -9, -0.5, -8.\nAnswer: -11, -9, -8, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t + 2*t - 3*t)*(5537 + 12575 + 114 + 7342).\nAnswer: 25568*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 4980676269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2185456939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 91*l**2 - 22898*l**6 + 39780*l**6 + 73*l**2 - 4*l**2 - 19506*l**6 - 7*l wrt l.\nAnswer: -314880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 - 26*y + 628. Let u be z(-37). Calculate the greatest common factor of 34 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35.33985 minutes in weeks?\nAnswer: 0.0035059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 386 - 182. Is 1240500\/g + 6\/51 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(252)\/(sqrt(4)*-1) - sqrt(63) - ((sqrt(189)\/sqrt(3))\/sqrt(9) - (sqrt(7) + 0)*3))**2 + ((sqrt(504)*2)\/sqrt(9))\/(sqrt(392)*-2 + sqrt(392)).\nAnswer: -2*sqrt(7)\/7 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**1*(v**(-5)*v)\/v)**42*(v**(2\/3)*v**(-1\/2))\/(v\/(v\/v**(-2\/3))*v*v*v**(-2\/5)) assuming v is positive.\nAnswer: v**(-5063\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -21 + -431?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + 631?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes after 10:47 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 4572, 4730, 4888, 5046, 5204, 5362?\n\"Answer: 158*x + 4414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2062, -3, 2, -403 in decreasing order.\nAnswer: 2, -1, -3, -403, -2062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + a - 3*a + 18 = 0, -4*a = 4*d + 36. Let j be 4 - (d*(-2)\/6 + -3). Solve -5*w = -2 - j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*k - 10, a + 368*k + 6 = 370*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -83 + 2?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 - 7*s**2 - s - 17. Suppose 2*j = -3*j + 70. What is the remainder when y(-8) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40600 + 256814 - 81661 + 242836 + 6*q.\nAnswer: 6*q + 377389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2*(-6)\/16*12. Let s be -1 + 2 - (r + 11). Is -1 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -130142 (base 5) to base 12\nAnswer: -2b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -16*l**3 + 452*l**2 + 1996*l - 2432.\nAnswer: -4*(l - 32)*(l - 1)*(4*l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + r = 8, 3*v = 5*v - 4*r - 22. List the prime factors of (1 + v)\/((-2)\/(-3)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 237328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of -b**4\/4 + 16*b**3\/3 - 19*b**2\/2 + 20*b + 94. Let m = 16 - 2. List the prime factors of r(m).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30373210.5657 + -472?\nAnswer: 30372738.5657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -2*u**3 - 2*u**2 + u + 2. Let o be f(-2). Let j(g) = -2. Let l(m) = -m + 18. Suppose 0 = -2*p - 8*p + 50. Let v(w) = p*j(w) + l(w). What is v(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.43 + -0.12. Let h = -18 + 17.85. Let k = r - h. Which is the third biggest value? (a) k (b) -3 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -78*i**3 + 8*i**2 + 1. Let b(n) = n**2. Let j(m) = b(m) - d(m). What is the third derivative of j(s) wrt s?\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 8*v - 5. Let m(p) = -17*p + 11. Let o = 2402 - 2393. Let h be (-3)\/(2 + 1) - -5. Let r(f) = h*m(f) + o*j(f). What is r(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -103 (base 11) to base 15.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 123037575.7 - 723077704.7. Let g = f - -600040172.0000001. Let n = -43 + g. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 832750522.\nAnswer: 2, 53, 148229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6580 - 6419. Calculate the remainder when 3695 is divided by m.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2247654 + -4.\nAnswer: -4.2247654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -l + 29 + 23, 37 = -2*f - 5*l. Let q(z) = z**3 + 10*z**2 - 11*z + 5. What is q(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 215.5373 millilitres to litres.\nAnswer: 0.2155373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1172534, -1172507, -1172482, -1172459?\n\"Answer: -w**2 + 30*w - 1172563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -t**3 - 13755060*t**2 - 265819*t + 3.\nAnswer: -6*t - 27510120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) 1\/2 (c) 4 (d) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, c: 5, p: 4, m: 3}. What is prob of sequence pc?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 144, 230, 372, 570, 824?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/((-7)\/6)*-28. Let y be (30\/t)\/(2\/8). Suppose -y*j - g = -49, g = j - 2*g - 13. What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 223 is divided by (-12 - -4 - 4) + 54.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 655 divide 89543074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 1602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 4*m = c, 3*c - 37 = -5*m. Solve 2*t + 2*t + c*g = 0, -2*t + 2*g = 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 3*z + 5. Let n be f(-2). Let r = 13 - n. Suppose -r = 5*w - 359. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 3*g, 2*b - 2*g - 2*g = -4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 133*z + 3. Let n(t) = 400*t + 10. What is 10*h(c) - 3*n(c)?\nAnswer: 130*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3787 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -10382468 - 4?\nAnswer: -10382473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2272 and 944584.\nAnswer: 3778336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l - 2. Let c(n) be the first derivative of n**2\/2 - 2*n + 31. Determine -3*a(d) + 2*c(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 255 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y = -2*w + 12, -689*w + y = -685*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3156 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3954645*p**4 + 197 + 3954643*p**4 + 28 - 2*p**3 to the form h + c*p**2 + j*p**4 + t*p**3 + g*p and give h.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply 52 and 7.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k - 5*k = 18. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 23*g**2 - 3*g + 1. What is the units digit of f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 13*s**3 + s**2 - s - 1. Determine k(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/786, -6\/11, -0.2?\nAnswer: 1\/786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*j**2 - 125914835*j - 125914840.\nAnswer: 5*(j - 25182968)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - (1 - 14)) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 260835 and 147?\nAnswer: 12780915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 371*l**3 - 1500*l**2 + 11*l + 9. What is t(4)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.834990759862 - 2.\nAnswer: -3.834990759862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 189873 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 286 divided by -25318?\nAnswer: -143\/12659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 4*p = 5*h - 8, 2*h = -4*p + 4. Solve 2 - h = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -263212*o**2 + 263212*o**2 - 251*o**3 - 251*o**3.\nAnswer: -502*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 2*b + 10. Suppose -b*n - n = -9. Factor 4*w**3 - w**4 + w - 2 - 5*w + n*w**4.\nAnswer: 2*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6 or -67611142?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1010101011 (base 2) in base 15?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.032735918 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 61633 is divided by 20529.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*g - 6130 - 119770 = 0. What is g rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20a76 (base 11) in base 12?\nAnswer: -1583b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -179382402 - -179382391.7999837. Let a = 10.2 + y. What is a rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2240*-2.\nAnswer: 4480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {y: 4, p: 2, a: 5, g: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -5*n**2 + 25025*n - 869750 = 0.\nAnswer: 35, 4970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3369296 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v*v**(8\/13)\/v)\/v)\/v**(2\/3))**(1\/82) assuming v is positive.\nAnswer: v**(-1\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 125\/117936 and -25\/72.\nAnswer: 117936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(3\/5)\/j**(-5))**(2\/5)\/(((j\/(j\/(j*j\/(j**1*j)*j)))\/j**4)\/(j**(2\/3)\/j)**(-35)) assuming j is positive.\nAnswer: j**(1268\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 11897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*v + 50 - 200 = 0. What is the smallest common multiple of 66 and v?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2592*q**4 + q**3 - 3946*q**2 + 541448248 with respect to q.\nAnswer: -10368*q**3 + 3*q**2 - 7892*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (285\/38 - -2) + 1 + 3\/(-2). Solve x*d - 56 + 11 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 790 - 794. Put 10, 7, l in ascending order.\nAnswer: l, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2458, 9827, 22150, 39463, 61802, 89203, 121702, 159335?\nAnswer: 202138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 472*t - 67. Is z(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 25 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -892*w**2 + 1716*w**2 - 826*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-56)\/6*(-120)\/700.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-110 - 185317\/(-1683)) + -122*4\/18?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3 or -994\/513?\nAnswer: -994\/513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-111)\/15 - 6\/(-15). Let r = -3 - m. Solve -4*d + 2*c - 18 = 0, -4*d + 5*c + r - 37 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 127*c + 29*c + 22*c = -2848 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m**5 + 16*m**4 + 28*m**3 - 136*m**2 - 48*m + 288 = 0. What is m?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8344675?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -20607510 or -20607508?\nAnswer: -20607510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 2 + 6 + -462 + 430 - -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -48073, -48118, -48199, -48316, -48469?\n\"Answer: -18*m**2 + 9*m - 48064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 24\/(-14) - (-2)\/(-7). Let q(k) = -k. Calculate the remainder when 5 is divided by q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**3 + 3*q**2 - 6*q - 4. Let w be u(-4). Suppose 5*p + 7 = -0*m - m, 3*p = -2*m. Suppose 1 - m = -s. Solve -s*t - w = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, -42\/59, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2739599645?\nAnswer: 5, 19, 107, 269513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j**2 + 3*j**2 - 4*j**2)*(0*j**2 + 3*j**2 - 4*j**2) - 4*j**3 + 3*j**4 + 4*j**3 + (-j**4 + 4*j**4 + 6*j**4)*(1 - 1 - 2).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -65*c**2 + 3*c - 5. Let u(a) = 68*a**2 - 4*a + 6. Determine -4*k(h) - 3*u(h).\nAnswer: 56*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 4 + 1 = 0. Let d(l) = -2*l**3 + l**2. Let u be d(o). Suppose -2*q = u*q + 2*f - 14, 4*q - 10 = -f. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of h**5\/30 + 37*h**4\/12 + 12*h**3 - 35*h**2. Determine a, given that s(a) = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -81 divided by -2774827?\nAnswer: 81\/2774827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.094 - -10.906. Let q = x + -11.2. What is the closest to 0.4 in 2\/5, -2, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - (-1 + 9 + (291 - 288)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-112)\/24*(-90)\/420.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 - 2. Suppose y*j + 0 - 6 = -4*q, 2 = j - 2*q. Suppose j*x - 36 = 38. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c**3 - 19716*c**2 - 2945859*c + 2965578 = 0.\nAnswer: -6419, -154, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5024 divided by 29545?\nAnswer: 5024\/29545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 68.17 + -1.17. Let x = k - 66. Which is the closest to 0? (a) -4 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of -10 + 10 + (13 - -1) + 4 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8488008\/(-8) + (-10 - -11). Round k to the nearest ten thousand.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1364 - 642653?\nAnswer: -644350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 3*p**3 - 259*p**2 + 20*p - 71. Let t(m) = 2*m**3 - 173*m**2 + 13*m - 51. Determine -5*s(n) + 7*t(n).\nAnswer: -n**3 + 84*n**2 - 9*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j = -19*x + 14*x - 62 + 86, -5*j + 4*x = 34 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**2 + 1. Let w be b(0). Is w greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(2\/25)\/r**(-17) assuming r is positive.\nAnswer: r**(427\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 3314.467 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be 432\/20 - (-6)\/15. What is the highest common divisor of g and 2134?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1639 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 4668 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*d + 11*d - 144 = 12*d. Solve -4*p + d - 12 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10 - 6. Suppose -m = -5*u + 31. Solve u*z - 6*z - n = 3, -3*n + 7 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(40) - (sqrt(3240) - sqrt(3240)*-1))\/(sqrt(8)*-2*2).\nAnswer: -17*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2736)*3 + -2*sqrt(1539) + sqrt(1539).\nAnswer: 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3716 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f. Let z(i) = i + 179. What is z(s(d))?\nAnswer: -d + 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 702717?\nAnswer: 3, 234239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7675 - -8158. What is the highest common divisor of 84 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 3*h)*(-h**3 + 0*h**3 + 2*h**3) + 32*h**4 + 29*h**4 - 5*h**4.\nAnswer: 53*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -258, -540, -816, -1086, -1350?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 36 + 24. Is (6\/(-4) - -1)\/((-3)\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7 and 106207.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*m - 4*m + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(343)*5)**2 + -4 + -4 + 1 + (1 + sqrt(343))**2.\nAnswer: 14*sqrt(7) + 34637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -7 - 50731?\nAnswer: -50740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.052 - 45.248. Let s = n - -46.2. What is the second smallest value in s, -4, -21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2200.5 + -2200. Which is the nearest to -1? (a) -23 (b) -2 (c) j (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*l + l**2 - 2 + 3*l**4 - 3*l**3 - 4*l - l + 5 as h*l**2 + d + a*l + b*l**4 + u*l**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(2880) + -4 - ((6*(sqrt(2880) + -2))**2 - sqrt(2880)).\nAnswer: -103828 + 3504*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 10 + 14 = 0. Let i(t) = -t**2 + 21*t + 74. Let u be i(r). Let n(b) = b**3 + 3*b**2 - 2*b. What is n(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15344 and 4144.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 8*x**3 - 6*x**2 + 58*x - 6. Let w(s) = -4875 + 9*s**3 + 58*s + 4868 + 33*s**2 - 22*s**2 - 18*s**2. Determine 7*c(r) - 6*w(r).\nAnswer: 2*r**3 + 58*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -261 + 0?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -430 - -1090. What are the prime factors of q?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g + 4. Let s be w(4). Suppose s = -h + 2*h - 1. Calculate the greatest common divisor of h and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 16? (a) -4 (b) -1\/9 (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let 3*w**4 - 21*w**3 + 27*w**2 + 81*w - 162 = 0. What is w?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -269 times -96744\nAnswer: 26024136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -338000, -338002, -338006, -338012, -338020?\nAnswer: -338030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -49*b**3*t**3 + 2*b**3*t**2 + b**3*t - t**6 - 9 wrt t.\nAnswer: -294*b**3 - 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 4 + 5)*(0*j**2 + 0*j**2 + j**4) + (-2*j + 2*j + 3*j**2 + 2*j)*(-24*j**2 - 452 + 452) to k*j**2 + s*j**4 + q + t*j**3 + p*j and give s.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -739 + 747. Suppose 0 = 5*z - 38 - 2. Calculate the greatest common factor of z and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -57 - -61. Determine x so that 51*x + 213*x**2 - 315*x**r + 12 - 13*x - 6*x**3 + 55*x + 3*x = 0.\nAnswer: -2\/5, -1\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 176859056 and 528?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-2)\/8 + (-1240)\/(-96) and 27\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*j**4*j**(-24)*(j**(3\/2)\/j)**(29\/5) assuming j is positive.\nAnswer: j**(-161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.12, -3\/2, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 15847? (a) -10\/17 (b) 0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(1900) + 1) + -1 + (sqrt(1900) + 5 + sqrt(1900)*-2 - ((sqrt(1900) - (sqrt(1900) + 1)) + sqrt(1900))*-2))**2 + -3.\nAnswer: 1120*sqrt(19) + 93161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 728 and 44.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (20 - 4 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 47 + -47. Which is the nearest to z? (a) 1 (b) -2 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/72? (a) -1\/5 (b) -5 (c) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 5*d - 10, d + 4*f - 3*f = 8. Suppose 2*o - 8 = 0, -i - i + d*o = -4. Let y = 10 - i. Solve 4*p = 6 - y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(3\/7)\/p*p*(p**(2\/11)\/p)\/p*p)**(-48)*((p**1)**(3\/2))**27 assuming p is positive.\nAnswer: p**(9117\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -19, -17, -13, -7, 1, 11?\n\"Answer: l**2 - l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1017 - 744. Does 59 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 9481 and 9480 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -36617 + 52426. List the prime factors of o.\nAnswer: 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from gkognggngknkgtpgot?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, 18, 2 in descending order.\nAnswer: 18, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 35 + -25. Let v = b + -5. Suppose -v*d = 2865 + 23635. What is d rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -3*u + 148, -5*u + 3*u + o + 94 = 0. Let w = 11698 - 11662. Calculate the least common multiple of u and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/4*(-2 - -4). Let t be (-4)\/(-32) - (1 - i). What is the third biggest value in t, -0.03, 0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 + 4. Suppose 396 = -3*o - v*o. Let i = 222 + o. What is the highest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1008*t**2*v + 2*t**2 + t*v - 3*v + 232 wrt t.\nAnswer: -2016*t*v + 4*t + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 4 + 8. Let d be 3\/9 + 870\/9. Suppose 5*k + d - 137 = 0. Solve -5*j - 3*r = -28, f*j + 3*r = 2*j + k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 10 + 40 = 0. Let b = 20 + k. Suppose 0 = -2*a + 7*a - b. Which is smaller: a or 10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 0 = 15. What is the common denominator of 32\/3 and y\/(-5)*-2*118\/(-228)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of 8*m**5\/25 + 12*m**4\/5 + 11*m**3\/5 + 4*m**2\/5 - 7*m. Solve q(z) = 0 for z.\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 188 + -204.2. Let f = h - -22. Round f to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*o + 32*o - 14*o)*(23*o - 23*o - 6*o**2).\nAnswer: -72*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 3328, 3604, 3892, 4198, 4528, 4888, 5284?\n\"Answer: o**3 + 269*o + 3058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 44 at most 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 762 - -1?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -193, -389, -599, -829, -1085, -1373, -1699, -2069?\n\"Answer: -g**3 - g**2 - 186*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 2*c**3 - c**2 + 20*c + 20. What is w(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(-2\/9))**30 assuming l is positive.\nAnswer: l**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*q = -4*q + z + 2, -4*z = -q - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-110)\/(-15) + -2 - 4. Sort 0.2, 1.3, -3, w.\nAnswer: -3, 0.2, 1.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 5727 divided by -3\nAnswer: -1909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 147f9e - 4?\nAnswer: 147f9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -15*b + 47. Suppose 2*n + 5*f + 17 = n, 0 = -n - 2*f - 5. Let j be c(n). Solve -2*z = j*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -62 (base 15) in base 14?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -3*c. Let d(a) be the second derivative of -a**5\/120 + 5*a**3\/6 - a. Let w(t) be the second derivative of d(t). Determine q(w(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1302812 and 148274.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -84*x - 382. Let z be n(-5). Suppose 0 = -z*g - 14533 + 41019. List the prime factors of g.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 803*u + 50680 = 26590 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -2*r + r - 2*r. Let c = 3 + -1. Let s(z) = -1 + 1 - c*z**2 + 0. Give u(s(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 0, -45, -3, 1\/4, -2 in decreasing order.\nAnswer: 12, 1\/4, 0, -2, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -0.3, 1\/362, -13 in decreasing order.\nAnswer: 1\/362, -0.3, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 1 + (sqrt(1100) - (4 + sqrt(1100) + 2)))**2 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes after 2:26 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.011591 - 0.0119. What is j rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.5, 237, 1\/24, -1114?\nAnswer: -1114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 4) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) be the third derivative of c**5\/15 + c**3\/3 - 2*c**2. Let h(q) be the first derivative of j(q). Is 12 a factor of h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -901617.475309 and -395?\nAnswer: 901222.475309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = 5*n - 25. Let x(w) be the second derivative of -w**3 - 1\/3*w**4 + 3*w**2 - 3*w + 0 + 1\/20*w**5. Determine x(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3278 a factor of 1587830420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -38, 4, -3, -5, 1 in descending order.\nAnswer: 4, 1, -3, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the second derivative of a**5\/110 - 8*a**4\/33 - 35*a**3\/33 - 18*a**2\/11 + a + 2. Factor k(s).\nAnswer: 2*(s - 18)*(s + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1 + -3 - (160 + 3) - -4. Let l(d) = 21*d**3 - 2*d**2 - 2*d. Let b(f) = -1679*f**3 + 161*f**2 + 161*f. Give z*l(k) - 2*b(k).\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 1154*h + 3. Let f(z) = -2320*z. Determine f(n(l)).\nAnswer: -2677280*l - 6960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -10, -0.1, 31, 3, 0.6?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5324 + 47866\/9. Calculate the common denominator of 49\/9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*o + o - 20 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -99511, -99805, -100287, -100951, -101791, -102801, -103975?\n\"Answer: g**3 - 100*g**2 - g - 99411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 422795a (base 11) to base 10\nAnswer: 7448099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -25534*w**4 - 7088.\nAnswer: -102136*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/((-12)\/(-2906))*4\/2. Suppose 0*n + o = 2*n - 1933, -3*n + j = 5*o. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-70 - -187)\/(-1989) + -148*(-2)\/1564.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -7*(-11)\/77*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -435*x + 438*x - 1140. Is 38 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2252.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 25 + -28. Let d be (-2)\/((-12)\/j - 6). Let t(m) = -m**3 + 2*m**2 - m + 3. Let h(a) = 1. Give d*t(q) - 3*h(q).\nAnswer: -q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5195 - 2303. Let o = s + -1599. List the prime factors of o.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(-15)*(-2 + -1). Let c = 31\/12 - 9\/4. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(((-810)\/9)\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1126752.6 rounded to the nearest one thousand?\nAnswer: 1127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*x - 50 = 4*x. Suppose 2*p + 2*c + 38 = 0, 5*c - x = -2*p + 4*p. Is 7\/((-3 - 0)\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the first derivative of 0*i**2 + 0*i + 0*i**4 - i**3 + 5 - 1\/5*i**5. What is the third derivative of n(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4*((-150)\/20)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9948661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-33 - (149 + -66)) + 10\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.6828246 + -0.683. Round a to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -0.0245.\nAnswer: -3.0245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 21416760 and 3240.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 2) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 4*j**2 + 110*j + 56. Let g be q(-27). Let r(f) be the second derivative of 0 - 1\/2*f**3 + 12*f + 0*f**g. Let x(i) = 2*i. Calculate r(x(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = 4*t - 150. Suppose 0 = 3*u + 9 + t. Let o = u - -23. What is the remainder when 28 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1556, 3675, 9440, 20675, 39204?\nAnswer: 66851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 30*b - 180 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1024416*f + 297249 wrt f?\nAnswer: -1024416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-3 + (3 - 6))\/(-2) - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 - -17. Suppose g = -4*p + 26. Suppose -2*y = p*d - 156, -3*d = -d - y - 74. Calculate the remainder when d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*r + 24824 = 24846 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 47 - 20 + 38 = -65*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -131*x - 30 = -126*x - 2*g, g = -2*x + 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*u + 8*u + 560 = -13*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30.4*-3005.\nAnswer: -91352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 112*d**3 - 572*d**3 + 285*d**3 + 80*d**3.\nAnswer: -95*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ereeeeeeeereeereee. Give prob of sequence reee.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 105*o**3 + 7*o**2 + o - 87. Let z(c) = 35*c**3 + 2*c**2 - 29. What is -2*h(g) + 7*z(g)?\nAnswer: 35*g**3 - 2*g - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 6*y - 8. Suppose w - y*w = -5. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -12*m**2 + 11*m + 11. Let j(r) = -r**2 + r + 1. Let g(z) = -22*j(z) + 2*k(z). Let s(b) = 23*b + 17*b - 74*b + 16*b + 24*b. Give s(g(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3028 - -3119. What is the remainder when 379 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -10*s + 16. Calculate m(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuununuu. Give prob of picking 2 u and 2 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 57577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(2299) + -1 + sqrt(2299))**2 + -4 - (3 + sqrt(19) + sqrt(304) + -3 + 0)**2.\nAnswer: 176*sqrt(19) + 8733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10 + 7 + 358*b**3 - 363*b**3 - b**2 + 8*b + 2*b**4 to h + o*b + d*b**3 + s*b**4 + r*b**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1*(2 + -3) + 2. Let p(g) = 2 - 7*g**2 + 2*g - s + g**3 + 4*g. Give p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**3 - 8*u**2 + 8. What is the units digit of g(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1553 + -1445. Calculate the highest common factor of 44 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*k**3 + 12*k**2 + 40*k.\nAnswer: -4*k*(k - 5)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 30*x + x - 3*x**3 - 17*x - 13*x - 29*x**2 as p*x + s*x**2 + g + a*x**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-five eighths of a kilogram in grams?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 83, 7, 2, -5 in descending order.\nAnswer: 83, 7, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**3 - 8*t**2 - 8*t + 6. Let g be a(-7). Let u = g + -7. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in m**2 - 3*m**2 - 2*m**2 + 36*m**3.\nAnswer: 36*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 18 < -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*l**3 - 3*l**2 + 10*l + 3 = 0 for l.\nAnswer: -1, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7 + 5. Suppose 3*f - 27 = -12. Sort d, f, 0.\nAnswer: d, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 20*y - 1062 - 2878. Let w = 211 - y. What is the remainder when w is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 2 = w. Suppose 0*o - 81 = -w*o. What is the greatest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(((sqrt(17) - (sqrt(612)*1 + sqrt(612))) + -2)**2 + 4 + ((sqrt(136)*-2*2)\/sqrt(8)*2)**2).\nAnswer: -18918 - 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-6)\/9)\/(2\/(-15)). Suppose 5*z = p*q + 20, -z - 4 = -2*z + 2*q. Suppose -r + z*u = -21, 2*u + 1 = -r - 2. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 6*j**2 - 2*j**2 + 5 - 5. Let o = 10 + -8. Let l(a) = -1 + o - 1 + 2*a**2. Calculate l(c(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 32 = 3*x. Is -0.1 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hddvddzvhvgm. Give prob of picking 1 m and 1 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3 and 1716123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12506 and 444.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 7518 + 1227 = 573*f - 2715 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + -1531?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 6270 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1650, 1642, 1622, 1584, 1522, 1430, 1302, 1132?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 1195 divide 5825291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -5*j + 213, -4*j + 392 + 16 = 2*f. Does 33 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -999864 by 333288.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -96255, -8, -13 in decreasing order.\nAnswer: -8, -13, -96255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 294, 1209, 2738, 4881?\n\"Answer: 307*a**2 - 6*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 + -2.7. Let g = -0.3 + k. Is g greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3092305?\nAnswer: 5, 89, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -5931 equal to -1155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1*(1\/1 - 0). Let u be -4 - (-7 + 1 + 2). Sort t, u, 3 in increasing order.\nAnswer: t, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, -62, -128, -198, -272, -350?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 3*l**2 + 38*l - 21. Is 28 a factor of w(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:03 PM and 11:46 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/3*y - 8\/9*y**3 + 0 - 2\/9*y**4 - 2\/9*y**2.\nAnswer: -2*y*(y - 1)*(y + 2)*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i**2 - 1034*i - 239275. Determine r(-350).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -82 - 0 - (11 - (-28 + 49 + 8))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -2*b + 5*z + 11, 5*b + 5*z - 35 = 0. Let w(q) = -5*q - 1. Let s(a) = 12*a + 2. Let t(k) = 2*s(k) + 5*w(k). Give t(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22748, -45513, -68278, -91043, -113808, -136573?\nAnswer: -159338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 46670113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 7 = 79*m - 78*m, 5*o + 6*m = -42 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be -27001 + (1 - 0\/3). What is z rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15604 (base 7) in base 11?\nAnswer: 3353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dvlldlggdn. Give prob of sequence dn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor v**3 - 13*v**2 - 2116*v + 17248.\nAnswer: (v - 49)*(v - 8)*(v + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3639137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 5009221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4636, 4, -1, 1 in increasing order.\nAnswer: -1, -0.4636, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the second derivative of c**5\/20 - c**4\/12 + c**3\/6 - 5*c**2\/2 - 2*c. Suppose -8*u - 15 + 15 = 0. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 - -13. Suppose m*h - 5*h - 10 = 0. Let r = h - 7. Solve -r*g + 12 = 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -18, -0.2, 200 in descending order.\nAnswer: 200, -0.2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6083 divided by -134550.\nAnswer: 6083\/134550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 + -56. Let g = 31 - s. Let a = g + -54. Solve 4 = -a*u - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -37\/48585 and -1\/1435?\nAnswer: 340095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (3*g + 2*g - 3*g)*(-g + 3*g - 4*g)*(-204 + 49 - 81) as v*g**2 + k*g + s and give v.\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = -m + 3*d + 1866948, 5*m = -d + 9334772. Let b be m\/(2 + -5)*-2. Let r = b + -2984636. Round r to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (23 - 0) + (-35 - (-47 - -21)) + -13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + d**2 + d. Let k(r) = 8*r**3 - 4*r**2 - 2*r + 3. Let t(y) = -k(y) - 6*v(y). Calculate t(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -25825563200 to the nearest one million.\nAnswer: -25826000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 14813 - -2?\nAnswer: 14815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = 74*p - 73*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 2*s + 1)*(-3*s + 5*s + 2*s)*(43*s - 817 + 817) to the form k + y*s + o*s**3 + t*s**2 and give o.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a day in hours?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - ((0 - 2) + 0 + -6 - -23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 394.8 + -395. Let f = 19\/53 - 6084\/265. Let t = -23 - f. Which is the smallest value? (a) u (b) t (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/70*-20)\/(50\/70)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 186535541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1267*r - 61248 = 1256*r. Calculate the highest common factor of 87 and r.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1, 0, -1, -11 in descending order.\nAnswer: 1, 0, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -936 = 14*t - 1328. Calculate the highest common factor of t and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13 or -205?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**3 + 13*y**2 - y - 10. Let i be p(-13). Solve -c + 3*c = i*m - 19, -16 = -2*m + 2*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5 or 0.0677?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, d: 2}. What is prob of sequence pd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z = -4*v + 18 - 10, -2*v = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -29, 19, -2, -3, -7 in descending order.\nAnswer: 19, 1, -2, -3, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/3 or -225?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p - 243428 = 783479. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-24)\/2)\/3 - 2. Let l be 0 + 1\/(-2 + (-14)\/s). Find u such that -4*u**3 + 18 + 5*u - u**l + 10*u**2 - 28 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 3*z - 96, 2*r + 25 = 3*r - z. Solve -r = 5*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 40.6 - 41. Let s = -1 - -1.08. What is the second biggest value in 4, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 6, d: 3, w: 6}. What is prob of sequence gg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the second derivative of v**3\/2 + 4*v**2 + v. Let x be w(-4). Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 23852450 and 33595.\nAnswer: 23852450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the second derivative of 1083*y**4\/4 - 12*y**3 - y**2\/2 - 5082*y. Find the second derivative of n(b) wrt b.\nAnswer: 6498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.05? (a) -2\/13 (b) 2\/19 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.11 (b) -0.19 (c) -0.5 (d) 0.4 (e) -166\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 159888663.\nAnswer: 3, 11, 23, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {o: 2, e: 1, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*h + 10, -49*h + 10 = 2*q - 48*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that t**4\/8 - 231*t**3\/2 - 26447*t**2\/8 - 99393*t\/4 - 21658 = 0.\nAnswer: -14, -13, -1, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 572 divide 148935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b + 978*p = 981*p - 6, -b - 2*p + 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 226698500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5372 - -5381.448. Round n to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 3*a - 3*i, -4*a - 5*i = -a + 13. Let z be (-10)\/(-4) + a\/(-8). Suppose z*y - 31 - 19 = 0. Solve -2*n + y = -5*l + 2*n, 3*l - n + 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -316 + 394. Suppose -13*d = -0 - i. Let j(q) = -23*q**2 + 17*q + 6. Let b(t) = -8*t**2 + 6*t + 2. Calculate d*j(o) - 17*b(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 755992054\/2310815 + -3\/177755. Let s = o - 327. Which is the fourth biggest value? (a) s (b) -10 (c) 2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1506627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19.11 - 19. Let w = a + 0.39. What is the closest to -1\/2 in 0.3, -3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*u + 12*u - 24*k + 194 = 4*u, -5*k + 50 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m - 83 = 4*j - 383, 600 = 6*m - 2*j for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1230830 - -1230751.5807. Let j = 0.0193 + y. Let h = j + 88. What is h rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9683 + 62634 = 7*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c - 4*c + c)*(1 + 2 - 4 + (-3 + 1 + 1)*(3 - 1 - 4) - 3 + 7 - 3 - 1 + 6 - 3).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -0.61*-1.52\nAnswer: 0.9272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**2 + 7*k + 1. Suppose n - u - 7 = -2, -5*u + 17 = n. Let f be g(n). Is 1\/2 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -104863, -106318, -107773, -109228, -110683, -112138?\nAnswer: -113593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(12) + sqrt(108))*1)**2 + 4*sqrt(24)\/(sqrt(8) - sqrt(72))*-6.\nAnswer: 12*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 19 + -4. Let u be 33\/p + (-2)\/10. Let z(h) = -h**2 + 3*h - 3. Give z(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -225271769*j**3*w**3 + 5*j**3*w**2 + 137*j**3*w + 2*j**2*w**2 - 2*j*w**2 - 1207*w**2 + 3*w wrt w.\nAnswer: -1351630614*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w - 3, h - 27 = -0*w + 4*w. Let z(t) = -t**2 + 3. Let a be z(0). Suppose 4*m = a - h. Sort -1, -4, m in descending order.\nAnswer: -1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 39106 - -21639. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(-2)*6\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and 583.615.\nAnswer: -583.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.01 - -1.99. Let s = -121.31 - -120.31. Which is the nearest to s? (a) 0.1 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 - 5*j**2 + 11*j + 4. Calculate h(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a - 342 = -351 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppffffpppc. Give prob of sequence pf.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -66*z - 34*z - 1139 = -339 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 300*f**2 - 8536*f + 25900.\nAnswer: 4*(f - 25)*(75*f - 259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -564 + 370. Let z = -84 - h. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 560 is divided by 278.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -738 + 390. Suppose -440 - 55 = n. Let h = v - n. What is h rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 112 and 874672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 38190 and 50920?\nAnswer: 152760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 112 and 560?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of 17 and 0.06.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qxxxxxxxxxxq. What is prob of sequence xq?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put together 259702839 and 1570.\nAnswer: 259704409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1120 - -233220130?\nAnswer: 233213010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 205 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 131127266 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -5*l - 3*x + 2, -2*l = 4*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 390179 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -28438, -56925, -85496, -114151?\nAnswer: -142890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -137 + 152. Calculate the highest common divisor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 226718711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -19*v**2. Let z(h) = -86*h**2 + 9*h - 2*h + 89*h**2 - 2*h. Calculate z(p(n)).\nAnswer: 1083*n**4 - 95*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 226*a + 2610. Let m(f) = 181*f + 2610. What is -4*b(j) + 5*m(j)?\nAnswer: j + 2610","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-18*6\/126)\/(6\/21). What is the nearest to r in 0.5, -5, 31, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -35 - -39. Let n be ((-60)\/48)\/(1\/h). Let t(c) = c**2 + 10*c - 6. Give t(n).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 93 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/((t*t**5*t)\/t))\/t**(1\/2)*(t**(1\/4)*t)**24 assuming t is positive.\nAnswer: t**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z**2 + 2*z**2 - 4*z**3)*(5*z**2 - 5*z**2 - 9*z**2) - 2*z**5 + 0*z**4 + 0*z**4 - z**5 + 0*z**5 + 3*z**5 + (-3*z**5 - z**5 - 4*z**5)*(1 - 1 + 2).\nAnswer: 20*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -2*a**2 - 6*a**2 + a**2. Let t(h) = -h**2. Give t(i(r)).\nAnswer: -49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4507731*y**3 + 4508726*y**3 - 9016460*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 33761409 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -104682009 + 104682290.000597. Let s = n + -281. What is s rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 take away 66?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(1296))\/(1*(sqrt(16)\/sqrt(2) + sqrt(8))).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-8\/7)*a)\/a)**7\/((a**(-9)*a*a*a)\/a)**(2\/31) assuming a is positive.\nAnswer: a**(-234\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((sqrt(605) - (sqrt(605) - (sqrt(605)*3 + -1)))*4 - (3*(sqrt(605)*-2 + sqrt(605)) + 3)**2)*6.\nAnswer: -32747 + 1980*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 - (6 - (7 - 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + 171 + 604. Is g at most as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 15*g. Let r(f) = 12*f**2 - 8*f. Let h(c) = -6 - 10 + 16 + 5*c - 8*c**2. Let l(s) = -8*h(s) - 5*r(s). What is l(k(x))?\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*o - o + 9*o)*(4542 - 1522 + 2515 - 76).\nAnswer: 81885*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from caknkkkka?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -c**2\/4 - 148828*c - 892959 = 0. Calculate c.\nAnswer: -595306, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -276*k**2 + 18*k + 2. Let j(v) = -839*v**2 + 55*v + 7. What is 7*c(z) - 2*j(z)?\nAnswer: -254*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 159581157 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -37, -4076, -4, 5, -52.\nAnswer: -4076, -52, -37, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2261 (base 10) in base 6?\nAnswer: 14245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 3*h**4 + h**4 - 3*h**4 + 21*h**4 - 502*h**4 - 81*h**4 + (-4*h + 0*h + 2*h)*(2*h**3 - 3*h**3 + 3*h**3) as j + m*h**3 + t*h + c*h**4 + o*h**2 and give c.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 23 greater than 165\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -6 (b) -2284 (c) -6\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-153)\/(-18) + -8)*(-6 - 0). Let b(h) = -7*h**3 - 6*h**2 - 3*h + 1. What is the hundreds digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*l*p + 10406357*l + 3109*p - 1406 wrt l.\nAnswer: 2*p + 10406357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.5 (c) -0.8 (d) -0.09 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 3*z**3 - 9*z**2 + 10*z - 13. Let t(o) = -2*o**3 + o**2 + o + 1. Let x(d) = h(d) + 4*t(d). What are the prime factors of x(-7)?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20900 bigger than 20903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2551 - -2552. Let z be 0 + 0\/(4\/1). Suppose z*q + 16 = -q. Which is greater: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes after 10:29 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2\/5))**(-1\/2)*(p*p*p**(-2\/3)*p)\/p**(-5))**(-16) assuming p is positive.\nAnswer: p**(-1808\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -12*p**2. Let a(d) be the third derivative of 0 + 0*d**3 + 0*d**4 + 3*d**2 + 0*d - 1\/30*d**5. Calculate q(a(i)).\nAnswer: -48*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-216*x**2 + 6 + 427*x**2 - 213*x**2)*(-2*x**2 + 3*x**2 - 5*x**2)*(-3*x + 4*x + 0*x).\nAnswer: 8*x**5 - 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/90 + 4 + (-72)\/20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 208, 284, 356, 424, 488, 548, 604?\n\"Answer: -2*x**2 + 82*x + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(140) + (sqrt(140)*3 - sqrt(140) - sqrt(140))*1 + sqrt(140) + sqrt(140) - sqrt(140))\/sqrt(10))\/(sqrt(242) - -4*sqrt(242)*2 - sqrt(242)).\nAnswer: 3*sqrt(7)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes before 9:42 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 49151*o - 12288*o - 12285*o - 12284*o - 12291*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)\/sqrt(8) + -2 + 0 + 3*sqrt(11))**2 - (-2*(3*sqrt(539) + sqrt(539)))**2*-1.\nAnswer: -16*sqrt(11) + 34676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1 + (sqrt(684) - (sqrt(684) + 0)))**2 - (sqrt(684)*-2)**2*-6) + (sqrt(684)*1 - sqrt(684))*-4 + 1)*-2.\nAnswer: -32836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 1988 = -6*s + 4*s, 4*f - 3976 = 5*s. Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in fifty-eight thirds of a hour?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(52)\/sqrt(4) + -4 + sqrt(468) + -4 + (0 + sqrt(637) + -1 + -1)**2.\nAnswer: -21*sqrt(13) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -463589.33+0.05\nAnswer: -463589.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the second derivative of -g**4\/12 + 4*g**3\/3 + g**2\/2 - 4*g - 24. Let k be (18\/(-8) + 1)*-4. Calculate b(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -99\/4, 4, -1, 1\/3, 43 in decreasing order.\nAnswer: 43, 4, 3, 1\/3, -1, -99\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1864800 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) -8 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4 + 5)\/(-1*(1 - (-90)\/(-81))). Let c be (0\/(-1) - 1) + 0. Let l(n) = -9*n**3 - 2*n**2 + 1. Let v be l(c). Are i and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 + -14 + 6071*(-3 + 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(1\/3)\/c**(-5)*(c**1)**(7\/3) assuming c is positive.\nAnswer: c**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -47968 divided by -2998.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**2 + 6. Let s(k) = 4*k**2 + 21. Let y(d) = -7*g(d) + 2*s(d). Let o(m) = 5*m + 1. Determine y(o(l)).\nAnswer: 25*l**2 + 10*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 2*o**3 - 580876*o**2 + 1161746*o - 580872 = 0.\nAnswer: 1, 290436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j + 5*j + 0*j)*(-111*j**2 + 117*j**2 - 145*j**2) + 0 - j**3 + 0.\nAnswer: -418*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 7456 = -2*y. Let m be 312\/52*(14\/4 + 1). Is (4 - m\/6)*y\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*w - 87*w**2 + 386*w**2 - 2*w.\nAnswer: 299*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6426 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and 335249.\nAnswer: -33524.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 153*q - 156*q = 4*f + 3, -q - 3*f - 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 9) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-20)\/16 - -1 - (-30)\/600. What is the third biggest value in o, 133, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 62*u**2 - 3*u**3 - 3*u**3 - 598*u + 1998 + 0*u**2 + 0*u**3. Let a(r) = 20*r**3 - 187*r**2 + 1793*r - 5993. Let l(z) = -2*a(z) - 7*v(z). Factor l(s).\nAnswer: 2*(s - 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - h - 45 = 0. Let v be (3\/h)\/((-3)\/27). Solve 3*q = 2*q - u + v, 4*q - 5*u = 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2156) - (sqrt(2156) - (sqrt(2156) - (sqrt(2156) + 1 + sqrt(2156) + 4))))**2 + 5*(sqrt(396) + -1)**2*4.\nAnswer: -100*sqrt(11) + 10121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - -0.96. Let l = -452941\/45 + 90587\/9. Which is the nearest to 0.1? (a) 2 (b) l (c) -4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-6)*(1 - -3)*-30. Let r be 92\/(-230) - 46\/k. Sort -3, 105, r, -0.1.\nAnswer: -3, -0.1, r, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 14 in -8, 2\/7, -2\/11, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -18*q - 6. Let a(c) = -37*c - 13. Let s(x) = 2*a(x) - 5*b(x). Let p be s(7). Suppose 3*j + 23 = p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4596 = -4*s + z, 5*z = 3*s + 2832 + 598. What is s rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -o + 0 - 1\/2*o**2.\nAnswer: -o*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 190 = 6*z. Let p(a) = -17*a + z*a - 23*a. Let u(s) = -28*s. Calculate u(p(g)).\nAnswer: 56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand ((6*f**2 - f**2 - 3*f**2)*(-2*f**3 - 2*f**2 + 2*f**2) - 2*f**3 + 2*f**3 - f**5 + 9*f**5 - 17*f**3 + 17*f**3)*(-2 + 2 + 4)*(3 - 6 + 1).\nAnswer: -32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -35*n**3 - 28*n**2 + 28*n + 28. Let c(a) = -4*a**3 - 3*a**2 + 3*a + 3. What is -28*c(r) + 3*l(r)?\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-2\/63)*l\/(l*l\/(l\/l**(3\/7))) assuming l is positive.\nAnswer: l**(-29\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 8*w - 1)*(-12*w - w - 24*w - 7*w) to the form q*w**2 + v + d*w and give q.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -0*m + 2*m + 6, 4*c = 5*m + 15. Solve 6*y - 21 = 3*y - 2*x, -x + 3 = c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is g in 4*g**5 + 5672*g**4 + 2016356*g**3 + 3970480*g**2 - 14012736*g + 8020224 = 0?\nAnswer: -708, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -18 * -114698\nAnswer: 2064564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 7:54 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/(-9)*-7*(-30)\/(-1225).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -70 divided by 214\nAnswer: -35\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the second derivative of -12*y + 0*y**3 + 1\/6*y**4 - 2 + 19*y**2 + 47\/20*y**5. Find the first derivative of u(z) wrt z.\nAnswer: 141*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -69*i + 549 - 1101 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:22 AM and 9:35 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -183.06+-35675.387667\nAnswer: -35858.447667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 387, 341, 281, 207, 119, 17, -99?\n\"Answer: -7*n**2 - 25*n + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 18*j**2 + 63*j - 42. What is the units digit of z(28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 82087649?\nAnswer: 7, 101, 116107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*z - 13*z = -228. Let d(t) = -t**3 + t + 1. Let u(j) = -5*j**3 - 8*j**2 + 6*j + 6. Calculate z*d(l) + u(l).\nAnswer: l**3 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 137517 - 122733 = -308*v for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4534840 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (4*sqrt(1872))**2 + 4 + ((sqrt(65)\/sqrt(5)*2)**2 + -3)*-3.\nAnswer: 29806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/((-6)\/(-871))*-3*221. Suppose -o = -24*r + 377581. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2\/(-1))\/(1\/(-299)). Let s be (l\/16)\/(5\/(-1814)). Let y = s + 13563. What is the common denominator of 7\/18 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of -b**3 + 7. Let f(z) = -2*z. Give f(j(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1610, 3175, 4740, 6305, 7870, 9435?\n\"Answer: 1565*q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6398 a factor of 4449662154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1*(-6)\/30 + (-2)\/(-20)*-58. What is the nearest to y in -1\/3, 2\/39, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31765791?\nAnswer: 3, 89, 118973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 87769619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 133*k + 0*k**2 + 12 - 149*k + 3*k**2. Is q(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*b + 32*b - 539 = 6*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6142691.\nAnswer: 89, 69019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 86629970.\nAnswer: 2, 5, 7, 1237571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1093*h**5 + 12*h**4 - h**3 + 3446*h**2 - 7 wrt h.\nAnswer: 65580*h**2 + 288*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes before 5:56 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -119, -239, -357, -473, -587, -699, -809?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c - 2*c + 6*c - c + 0*c + 0*c - 2*c - c + c + 0*c - c + 3*c + (-4 + 0 + 2)*(3*c - 6*c + c) + 2*c + 4 - 4 + (3 + 0 - 2)*(-c - 5*c - 4*c)*(0 + 2 + 1).\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 62403936, 124807877, 187211820, 249615765?\nAnswer: 312019712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*f**3 - 58*f**2 + 58*f**2.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t\/(t*t\/(t**(2\/21)\/t)*t))*t*t)\/t**(9\/5) assuming t is positive.\nAnswer: t**(431\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 788329*p = 4*a + 788330*p + 18, -8*a + p = 30 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 21*s + 13*s**2 + 27*s**3 - 3*s**2 - 33*s**3 - 6*s + s**3 = 0. Calculate s.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12825, 12846, 12889, 12966, 13089?\nAnswer: 13270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 27\/4 of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 256*u - 4852. What is o(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 478081 and 87525.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 11013 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 15785 less than or equal to 15786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -2961206 times -1?\nAnswer: 2961206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 105537534?\nAnswer: 2, 3, 17589589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 15*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 10648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 135, 260, 375, 474, 551?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 197.78 and 13?\nAnswer: 2571.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/30*60\/144.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + k = 3, -30*w - 5*k = -31*w - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 379845580 by -37984558.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 26104032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the third derivative of -n**6\/660 + n**5\/165 + 4*n**4\/33 - 32*n**3\/33 + 386*n**2. Factor y(o).\nAnswer: -2*(o - 4)*(o - 2)*(o + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**2 - 10*g - 49. Let z(r) = -r + 1. Let w(m) = b(m) - z(m). Is w(14) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*n**2 - n + n + 13*n**2.\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of 2*w**5\/15 + 5*w**4\/6 - 2*w**3 - 27*w**2 - 72*w + 811. Factor l(f).\nAnswer: 2*(f - 4)*(f + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1251, 1252, 1249, 1236, 1207, 1156, 1077?\n\"Answer: -c**3 + 4*c**2 - 4*c + 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of t**4\/12 + 5*t. Let m(f) = -2*f. Calculate p(m(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-40)*-20*(-6)\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -28.543 and 35.\nAnswer: -999.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 + 5 + 3 + -4. Let h = -4 + 7. Suppose -5*b - 12 = l + 5, -h*l + 9 = d*b. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1 + 0*2\/(-4). Let q = -481 + 476. What is the units digit of -87*q\/(h - -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*t**2 + 2396*t - 324602 wrt t?\nAnswer: -4*t + 2396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z + z = -4*d + 6482, 2*d - 2*z = 3242. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the second derivative of -g**7\/6 + g**6\/15 + 63*g**5\/20 + 5*g**4\/6 - 46*g**3\/3 + 12*g**2 - 51*g. What is b in y(b) = 0?\nAnswer: -2, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 + 5*w**2 - 6*w + 1. Let x be a(4). Let t = -5 - x. Solve -3*o + 16 = 2*p - 6*o, -8 = -t*p - o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 92\/3003 and -125\/1092.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -4*l**3 - 5*l**2 - 8*l - 9. Is g(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 4*a**2 + 1. Suppose 0 = 5*b + 3*c + 6 - 23, 24 = 4*b + 5*c. What is l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -730587*n - 1687348 wrt n.\nAnswer: -730587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*w = -w + 5*w - 4*w - 60. Let c(h) be the first derivative of -29*h**4\/4 - 5*h**3\/3 + 1. Let k(y) = -15*y**3 - 3*y**2. What is w*c(a) - 5*k(a)?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((f*f\/f**(3\/7))\/f*f)\/f)\/f)**(-26))**(1\/20)*(((f*f\/(f*f**(-4\/7)\/f*f))\/f)\/f*f*f\/(f\/(f\/f**(-1)))*f)\/(f**(-2\/17)\/f**(-1\/10)) assuming f is positive.\nAnswer: f**(2467\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40091934.\nAnswer: 2, 3, 6681989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from quuquq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 0*h + 2*h - 5, -15 = -3*f - h. Let b(u) be the first derivative of u**4\/4 - 5*u**3\/3 + u**2 - 5*u + 2. Calculate b(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3510 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 6 = -4*q. Suppose -6 = -c - u, -2 + 0 = 2*c - 5*u. What is the first derivative of 1 + 5*y**c + 6 + 0 - q wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -63 - -119?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) 4 (c) -0.112 (d) -2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -12525715, -12525719, -12525733, -12525763, -12525815, -12525895?\n\"Answer: -w**3 + w**2 - 12525715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**2 - 2*i + 7. Let b be q(2). Let j(l) = l - 2. Let c be j(b). Let d be -5 + 82\/10 + c. What is the smallest value in 0, -2\/11, d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -26674.3 times 51\nAnswer: -1360389.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -8215 * 1058.\nAnswer: -8691470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1990 and 3290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of -45 and -86086.5.\nAnswer: 3873892.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 185 or -1\/400?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hlll when four letters picked without replacement from lhlhhl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/2337 and -36\/821579.\nAnswer: 101054217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2\/3 - 11\/12. Is u not equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-9)\/(27\/(-2))*3. Suppose 26 + 22 = x*c. Suppose -4*p = -4*b - c, p + 16 = 3*p - 3*b. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(-20) + 1856\/20. Let v(m) = 5 - 21*m**2 + 71*m - 1 - q*m + m**3. Let n be v(22). What is the greatest common divisor of 36 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 15 = -4*r. Let i be (-5 + r)*1\/2. Suppose -2*f = -i*f - 8. Solve 8*n = f*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -26\/345261 and -13\/33684.\nAnswer: 1381044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -120.7992 to zero decimal places.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -5 - -1398?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 3 s when four letters picked without replacement from {j: 1, s: 4, l: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/4)*b\/(b\/b**(15\/7)*b)*b)\/(b**(-8)*b)**(6\/25) assuming b is positive.\nAnswer: b**(2501\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 195\/((9\/2)\/3). Let z be -98 + (-56)\/(8 - 0). Let h = b + z. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 434504566?\nAnswer: 2, 47, 4622389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -75, -107, -167, -261, -395, -575, -807?\n\"Answer: -f**3 - 8*f**2 - f - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) -3 (d) 1 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jw when two letters picked without replacement from weqkqwjqqqqwksw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(77)*-2)\/(sqrt(21)\/sqrt(3)*4 + sqrt(7)).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dddbdbbddddddd. What is prob of sequence db?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j = -3*u - 2*u - 25, 0 = -4*j + u + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 3971738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -530300*l**3 - 65317*l**3 + 40679*l**3.\nAnswer: -554938*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3278 and 3528?\nAnswer: 5782392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -2*s**2. Let f(a) = 243*a - 351*a + 285*a. Calculate f(o(h)).\nAnswer: -354*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -2*b + 28. Let g be t(13). Let v be 30\/(-4)*(-12)\/10. What is the third derivative of 4*n**g + n**3 - 7*n**2 - n**3 + v*n**3 wrt n?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in z - 15 + 5 + 7.\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -7 times -2772675?\nAnswer: 19408725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v**2 + 2*v**2 - 5*v - 5*v**2. Let f(q) = 3*q**2 + 18*q. Let u(d) = -5*f(d) - 18*w(d). What is y in u(y) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2\/135, 1\/10, 0.2, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 5*i**2 - 23*i + 12. Let z be p(4). Let g be (0 - z)\/(-2) + 58 + -2. Calculate the highest common divisor of g and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 2*w**3 + 3*w**2. Calculate k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b and 1 i when four letters picked without replacement from {i: 2, b: 16}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 126*c**2 - 2*c - 66*c**2 + 6 + c**4 - 2*c**3 - 64*c**2 as l*c**2 + b*c**4 + r*c**3 + f*c + p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -1101000000100110010 (base 2) to base 10.\nAnswer: -426290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 17 + -18. Put m, 4, 5 in decreasing order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**2 - 6*l - 100. Let x be i(14). Solve 2*b = -v - x, -b - 1 = v - 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**3 - 11*m**2 + 10*m - 2. Let o be n(10). Let b = -178 + 176. Let t be (o + 2 + 0)\/b. Solve 0*h + h = 4*q + 16, t = 5*q - h + 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1219 - -1237. Solve 16*w - 46 - j = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 31868 times 1\nAnswer: 31868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 2*s**4 - 14*s**3 + 22*s**2 - 10*s = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 8.326543 to 1 dp.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 232*w - 100 = 227*w. Suppose -w*c = -16*c - 884. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2 - -9) + 3*-1. Let g be (-3)\/15 + (-93)\/(-15). Let b be (2\/g)\/((-1)\/(-3)). Solve m*u - 3*r = -1 - b, 12 = -2*u - 4*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 + 36*p**2 - 188*p + 245. Let g be l(30). Which is the closest to -1? (a) -0.2 (b) 11 (c) g (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 290890273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 66 and 2376?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12*3\/((-36)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of 0*m + 1\/6*m**3 + 2*m**2 - 1\/12*m**4 + 0. What is the units digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - d - 5 = 0, 5*d = -3*k - 0*d + 1. Let x(y) = 411*y**2 - 826*y**2 + 406*y**k. Let h(o) = -o. What is h(x(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w + 1. Let t(q) be the second derivative of 11*q**3\/6 - 11*q**2\/2 + q. Let f(p) = -18*r(p) - 2*t(p). Differentiate f(o) with respect to o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (23*c**2 - 6*c**2 + 13*c**2 - c)*(3*c**3 + 3*c**2 - 2*c**2 - 6*c**3).\nAnswer: -90*c**5 + 33*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3 - ((-38540)\/(-4))\/(-5). Suppose 6*b = 8164 - w. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 82 divide 20828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, 3, 5 in increasing order.\nAnswer: -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, d: 15}. What is prob of sequence uud?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 189 and 56.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**3 - 4*s**2 + 3*s + 1. Let x be h(3). What is the remainder when (-201)\/(-12) - x\/(-4) is divided by 364\/40 - (-10)\/700*-7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -3*x + 15. Let d be m(5). Let p be 0 + -42 + (d - 4). Is 18 + -20 - (1 + p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 - 1 - (-28 - -34 - (-9 - -19))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f - 44 = -42 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 0 - 2 - 28*p**2.\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m**2 - 44*m - 48 = 0 for m.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 432 = 12*f - 24. Calculate the least common multiple of 8 and f.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-u + 1 - 1)*(3 + 2 - 3) + (2*u + 0 + 0)*(-5 + 6 + 9)*(3 - 5 + 4) to a*u + z and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2)*(0 + 0 + 4*v)*(229*v - 485*v + 218*v - 36*v**2).\nAnswer: 288*v**3 + 304*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1136040 - -241?\nAnswer: 1136301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 12215, 12125, 12033, 11939, 11843, 11745?\n\"Answer: -y**2 - 87*y + 12303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 37*v**2 - 19*v**2 + 22*v**2 - 2 - v**2 + 2 + (-v + 3*v + 0*v)*(0 - 3*v + 0) + 3*v**2 - 3*v**2 - 4*v**2.\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300) + 0)**2 - sqrt(36)\/(5*sqrt(24)\/sqrt(2)).\nAnswer: -sqrt(3)\/5 + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 922346 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 234*j - 673. What is the tens digit of s(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -4*i - 9. Let h(u) = 29*u**2 - 61*u - 34. Let g be h(-22). Let p(q) = -g + 2*q + 15344. Give m(p(c)).\nAnswer: -8*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + 100211222121101111?\nAnswer: 100211222121101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 30422*h - 4 + 9 - 2.\nAnswer: 30422*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a - 8 - 34. What is the lowest common multiple of 15 and a?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 2. Let i = t + 1.7. Which is the nearest to 2? (a) -3 (b) i (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11\/(-4) + (-18)\/8 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 21*o**2 - 11. Let n(r) be the first derivative of -7*r**3\/3 + 4*r + 60. Calculate 11*n(i) + 4*z(i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 3*r = -32. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7010 + 6992. Which is the biggest value? (a) 0 (b) -46 (c) -5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 2*b**2. Let u(s) = 553*s**2 - 2*s. Let n(l) = -6*l**2 + l. Let z(o) = -6*n(o) - 3*u(o). Give x(z(f)).\nAnswer: 5268258*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 4) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -3*249\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z**2\/7 - 442*z\/7 + 63 = 0. Calculate z.\nAnswer: 1, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 17 (c) 30 (d) 5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.3 from -6468592008.\nAnswer: -6468592008.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 3*t**2 + t + 3. Let n be u(3). Let j = 1 + n. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9482815 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 - -11. Let b = 8 - u. Solve b*d = -5*l - 28, 5*l + 2*d = 4*d - 23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8680 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0*-39\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -5*q + 3*q. Let c = q - 6. Suppose -3*s = c*d - 0*d - 57, 0 = d - 2. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*g**4*y + 20*g**4 + 42*g**2 + 2*g*y wrt g?\nAnswer: -48*g*y + 480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 10113305012 - 3?\nAnswer: 10113305005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -84 - 2867*x + 5869*x - 2906*x + 80.\nAnswer: 96*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 195546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-9) - 747\/(-81). Differentiate 4*m**2 - 6*m**3 + 5*m**2 - 2 - n*m**2 with respect to m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 16 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 1\/17012423?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be 7 - (0 - 0)*(2 - 3). Suppose 11*i - 424 = c*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, 1, -3, -21, -0.4.\nAnswer: -21, -3, -4\/7, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 12, -5, -3, 1, -1, 12417 in descending order.\nAnswer: 12417, 12, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -51677, -103363, -155059, -206777, -258529?\nAnswer: -310327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 3\/8, -4, -5, -3151, -0.3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -339.309 - -339. Let w = b - -0.596. What is w rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14932*p + 3*p**2 + 0*p**2 - 14932*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.4, 0.38, 0.5, 3?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 - 4. Let y = 5 + x. Suppose -o - y*o + 124 = 0. What is the remainder when o is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 459 is divided by 441.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1168130 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 + 15*o**2 + 16*o + 2. Let m be p(16). Solve 2*f + 4 = y + 7, 0 = -y - m*f + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*f**2 + 3 - 14*f**3 + 2 - 7 + 33*f**2.\nAnswer: -14*f**3 + 17*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.1, 0.06, -1, 14, 4, 18080?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1950439402 to the nearest integer?\nAnswer: 44164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 2 n when four letters picked without replacement from {x: 3, n: 2, t: 6, m: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*n + 2*p + 13 + 1, 4*p = -7*n - 8*n - 128 + 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 1. Suppose -4*s = k + 7. Put s, 5, -1 in decreasing order.\nAnswer: 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 4*l = 24, 31*t - 27*t = 5*l + 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -30 + 25. Let g(y) = -y**3 + 6*y**2 - y + 1. Let j be g(6). Let u = j - -5. Sort 3, m, u in ascending order.\nAnswer: m, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l**4 + 3*l**4 - 3*l**4)*(0 - 2 + 0) + (5 - 2*l - 5)*(l**3 - l**3 - l**3) + 0*l + 3*l**4 + 0*l.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 - 4 = 4*d. Let u(q) be the second derivative of -q - 3\/25*q**d - 1\/105*q**7 + 0 - 2\/15*q**4 - 4\/75*q**6 + 0*q**2 - 1\/15*q**3. Factor u(k).\nAnswer: -2*k*(k + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -77437*u**2 + 15357*u - 4 wrt u.\nAnswer: -154874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 5*j + 2, n = 5*j - 0*n + 4. Let q = -1066 - -1070. Put j, -2, q in descending order.\nAnswer: q, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 883.92187905 take away -1?\nAnswer: 884.92187905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(-2\/9))**(-38)\/(d**(1\/2))**(-8\/11) assuming d is positive.\nAnswer: d**(-2890\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = 28 + 14. Let u be 0 + 5*(0 - 5). Calculate the remainder when u\/(2\/4*-2) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-18)\/4)\/(((-30360)\/7360)\/((-18)\/4))?\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1216*j + 1210*j = 120 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let -45*r**5 + 57*r**4 + 15*r**3 - 21*r**2 - 6*r = 0. Calculate r.\nAnswer: -2\/5, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 95396 is divided by 7947.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1830871?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -1c26a (base 15) to base 12.\nAnswer: -45077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5395 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -34.8196706 + 34.829. Round o to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 4, z: 5, x: 2, i: 1, k: 3, t: 5}. Give prob of picking 2 x, 1 z, and 1 t.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 5489.47 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 642 a factor of 1570112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 262693.54 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -30 + 29. Let l(y) = -2*y**3 - y**2 + y + 1. Let g be l(-1). Let o be (u\/19)\/g*-2. Which is the biggest value? (a) -0.4 (b) 3\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 867253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -50.3 - -0.3. Let v = k - -52. Which is the second biggest value? (a) v (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or -3899?\nAnswer: -3899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -349 at most as big as 72593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(17) - sqrt(170)\/sqrt(10))**2 - sqrt(17)) + -2 + sqrt(187)\/sqrt(1331).\nAnswer: -10*sqrt(17)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-10)\/(-5) + (-1 - -2). Suppose 2*i - 46 = g*j, j + 0*i + 8 = -3*i. Let p = j + 11. Put p, 0, 2 in decreasing order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.4 + -1.58. Let y = k + 24.68. Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 856290 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hzzh when four letters picked without replacement from zzhzhzzzzzzzz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2769663 centuries in decades?\nAnswer: 2.769663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 5*sqrt(175))**2.\nAnswer: 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, -732, -99779 in increasing order.\nAnswer: -99779, -732, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -16.1 - -282126.4371.\nAnswer: 282110.3371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be (((-477)\/60 - (-23)\/(-460)) + -32)*-4. Let v = 85 + -21. What is the highest common factor of v and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 - d**2 + d. Let v be 3 + 0 + 0 + -4. Let k be p(v). What is the units digit of 1 - ((-66)\/k)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3*((-26)\/195 - (-8)\/85). Is w at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*j*r**2 - 1220*j*r + 30*j - 22 with respect to r.\nAnswer: -4*j*r - 1220*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 97771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 - -58. Suppose 0 = -4*k + 40 + x. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32021023030 (base 4) in base 6?\nAnswer: -211244444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = -7*c. Let x(y) be the first derivative of 2 + c*y + 0*y**3 + 1\/8*y**4 - 1\/4*y**2. Suppose x(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 16.4, 1\/2, 316, -4\/9, 0 in descending order.\nAnswer: 316, 16.4, 1\/2, 0, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -423 (base 7) to base 13.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 102648*a**5*y**2 + 7*a**5 - 4*a**2*y**2 + 1721495*a*y**2 wrt a?\nAnswer: 6158880*a**2*y**2 + 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 103366 (base 7) to base 2.\nAnswer: 100011001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (174856\/(-284141))\/(3 + 189\/(-60) + 2\/5).\nAnswer: -32\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-1\/4)\/a*a)**44)**(-2\/13) assuming a is positive.\nAnswer: a**(22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 813*m + 439*m + 27177 = -737*m - 62328 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 - y - 1. Let h be g(-2). Let n = h + -2. Let c be 13\/52 - (-23)\/(-60). What is the closest to -0.2 in c, 2\/7, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1707 + 1675.84. Let x = 31 + v. Let y = x - 0.04. Which is bigger: y or -3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -3*x + 7, 11 = 3*x + 8*d - 3*d. Suppose 0 = -x*g + 14 - 2. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2420 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 2*y - 3*p = -130, -p = -5*y + 110. Suppose -4*i - 3*c = -9*i + y, 4*i = -5*c + 48. Let b(j) = 3*j - 15. Let g be b(i). Which is smaller: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*1*sqrt(1300) - sqrt(1300)) + sqrt(1300) + sqrt(1300) + -4 + sqrt(1300) + 0 + -5 + 5*-5*sqrt(1300))**2*-5.\nAnswer: -2866905 - 18900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 575 = -5*q, 8*q - 3*q - 575 = -4*d. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 187 + -22?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**3 + 121*z**2 - 1405*z + 116. Let h be t(108). Let g(j) = -41*j - 2. Let l(w) = -123*w - 5. Determine h*g(s) - 3*l(s).\nAnswer: 41*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 34433424 and 149211504.\nAnswer: 447634512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 188, 23 in increasing order.\nAnswer: 5, 23, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -76 - -159. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 347 less than 354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, x: 5, g: 4}. What is prob of picking 1 g and 1 o?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**2 - 5*s + 2. Let m = 123 + -79. Let p(k) = -83*k - 4 + 48*k + 2*k**2 + m*k. Determine 11*o(d) + 6*p(d).\nAnswer: d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-2))\/(-154*19\/(-1862))*(-4)\/21\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -216 divided by -2\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eee when three letters picked without replacement from eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -4*x - 16. Let l(a) = 3. Let z(q) = -q + 3. Let v(w) = -2*l(w) + z(w). Let t be 2\/(66\/(-16) - -4). Determine t*v(d) + 3*o(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -6*v + 15. Suppose -g + 0*g + 5 = 0. Let u(j) = -2 - 4 + j + g. Let f(s) = a(s) + 15*u(s). What is f(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**3 + 5*h**2 + 3*h - 28. Calculate b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -169 + 165. Sort -3, 1\/3, l, 2.\nAnswer: l, -3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35685298?\nAnswer: 2, 11, 1622059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 60 - 61. Let j(v) = -v. Let y(i) = 529*i - 5. Let u(x) = h*j(x) + y(x). Is u(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 355 (base 12) to base 4\nAnswer: 13301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -50 and 761.625?\nAnswer: -38081.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 2:47 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 124283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 - 7.4. Let y = m + 0.9. Which is the closest to -1\/2? (a) 1 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-five quarters of a meter in centimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -34\/83 in 2\/3, -1\/4, -598?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -18*l**2 - 10*l**2 - 4*l**2 in the form s*l + o*l**2 + z and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 44299, 56369, 68437, 80503, 92567?\nAnswer: 104629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*a + 3*a + 270 = 0. Suppose 2*b - b - 51 = 0. Calculate the remainder when b is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 13 = 15. Let v be (-3 - (-15)\/9)*3. What is the least common multiple of ((-4)\/v)\/((-1)\/(-4)) and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 51 + -48. Suppose 4 + 12*s**y - 665*s**4 + 667*s**4 + 9*s + 2 + 24*s**2 + 11*s = 0. What is s?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 19535448 and 78141792?\nAnswer: 78141792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 328 minutes before 3:42 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -43 - (116 + -83 + -40)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 - (2 + -2 + -5) - (-9 - -10). Factor -j*h - 4 - 1\/4*h**2.\nAnswer: -(h + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 322445 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i = -2*q + 22, -2*q + 0*i - 2*i + 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1120243 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/8? (a) -0.74 (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 70435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v - 2. Let u(z) = 31*z**2. Calculate u(q(g)).\nAnswer: 31*g**2 - 124*g + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17 - 15. Let t be (-9)\/2*2\/(-3). Let j = t + -2. Sort j, x, 3 in increasing order.\nAnswer: j, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*r + 27*r + 17*r)*(0 + 6 - 7 - 73*r).\nAnswer: -3869*r**2 - 53*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (4 + -1*((0 + sqrt(68))*-5 - sqrt(68)) + 3 + 1)**2 + 5.\nAnswer: 192*sqrt(17) + 2521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 5*k - 3 = m, -4*m + 9 = -k. Let y(t) = 57*t - 2. What is the units digit of y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0, 1, -28 in ascending order.\nAnswer: -28, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 54\/5 of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1012540 - -32?\nAnswer: 1012572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**2 - 3*j - 4. Let l(w) = -w**2 - 6*w - 2. Let z be l(-5). Let o(v) be the third derivative of v**4\/24 + v**3\/6 - 2*v**2. What is z*o(r) + q(r)?\nAnswer: r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**3 - 21*x**2 + 37*x - 73. Is r(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1648462*l**4 + l**3 - 1586051 with respect to l.\nAnswer: 6593848*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is c in -c**5\/4 + 17*c**4\/4 - 61*c**3\/4 - 117*c**2\/4 + 81*c\/2 = 0?\nAnswer: -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k + k**3 + 10*k**2 - 5*k + 5*k + 10 + 0*k. Let g be p(-10). Suppose 2*f + 2 = -g*f. Put 4, 1, f in increasing order.\nAnswer: f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 46 divided by 328\nAnswer: 23\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -64 and 1389.38.\nAnswer: -88920.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3210114000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 83*t + 88 + 117 = -44 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/2 and -3 + (-50)\/(-16) - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {v: 3, f: 2, k: 2, x: 4, r: 1, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -31 (base 5) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - 5*j + 30 = 0, -14 = -5*q + 4*j + 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*h**2 - 870*h + 870*h.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 - -682. What is p rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4165738261 to the nearest integer?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.4 from 6964233955.\nAnswer: 6964233955.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**2 - 4. Let a be t(-2). Let o(k) be the third derivative of a*k - k**2 + 1\/50*k**5 - 4\/15*k**3 + 1\/300*k**6 + 0*k**4 + 0. Factor o(p).\nAnswer: 2*(p - 1)*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1815146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of 49*l**4\/12 + l**3\/3 - 28*l**2 - 227*l - 1. Find the second derivative of s(y) wrt y.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 84*v**4 - 8*v**3 + 11*v**2 + 11*v - 171. Let w(s) = -28*s**4 + 3*s**3 - 4*s**2 - 4*s + 57. Let r(n) = 4*i(n) + 11*w(n). Differentiate r(c) wrt c.\nAnswer: 112*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 52 + -51.67. Let g = -0.17 - f. Let w = 0.4 + -0.2. What is the smallest value in 0, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -9531688 divided by 26\nAnswer: -4765844\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dlxqoxt. Give prob of sequence to.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1509.4 + 1509. What is the second smallest value in j, 1\/3, -80, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4158977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 23156591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6392 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/36*10854\/(-670)*48\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2140\/7 + 307. Let i(q) = -q + 9. Let z be i(9). Which is bigger: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53419 = 13*i - 118675. What are the prime factors of i?\nAnswer: 2, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 366504*g*k**3 - 8*g*k**2 - 2*k**2 - 652*k + 13 wrt k?\nAnswer: 2199024*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 50*f**2 - 3 - 10*f**3 + 0*f + 46*f**2 - 94*f**2 - 3*f in the form a*f + w + d*f**2 + b*f**3 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 57.5 + 337.3. Let f = y - 49.8. Let u = f + -347.47. What is u rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 - 0. Let g = 2349 - 2349.3. Let o = 2 + 1. Which is the nearest to t? (a) -2 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from mbmbuumumbmbbmmbub.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -22 - -1. Let v be (-4)\/140 - 9\/r. Which is the closest to 2\/5? (a) 0.3 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1564 or 256892?\nAnswer: 256892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -4*z - 2. Let p be m(-2). Let r(a) = a**3 - 5*a**2 - 6*a + 2. Give r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35 (base 7) to base 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -28*b**5 - 5*b**3*m - 16*b**2*m - b*m wrt b.\nAnswer: -1680*b**2 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 47649.19nm in meters?\nAnswer: 0.00004764919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16386*-324.\nAnswer: -5309064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.7 - -0.7. Let y be ((-5)\/(5\/2))\/(-10). Sort -3, r, y in decreasing order.\nAnswer: y, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -3.8 (b) 0.1 (c) -5 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 367497 and 162?\nAnswer: 734994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - -7 - (-165 - -169).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**3 - 8*q**2 + 15*q + 13. Determine c(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(40)*-5)\/(sqrt(200) + -4*sqrt(200)).\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 52362 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (13 - 9)\/((-16)\/72 - (-20)\/(-72))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -27.4695 * 14.\nAnswer: -384.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 379 + -374. Solve -2*q - 2*f = -3*q + 7, 0 = s*q - 4*f - 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (58\/(-6) - 12\/(-18)) + (-79 + 84)*-9?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5682.000047975 + 5682. Round r to 7 decimal places.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 22\/(-18) - 2\/(-6). Let z = -29.183 + 29.283. Sort j, 0.2, z, -0.2 in ascending order.\nAnswer: j, -0.2, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/10)\/s**(1\/6))**(2\/5) assuming s is positive.\nAnswer: s**(-2\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -42 by 37.\nAnswer: -42\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 9\/52316 and -35\/101352.\nAnswer: 32331288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 961030565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w**(-3\/2)*w)**(1\/11)*(w*w**(2\/15))\/w**(-3\/2))**42 assuming w is positive.\nAnswer: w**(6188\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 43511 - 3321?\nAnswer: 40180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -404 divided by -101?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 - 1 + 7*o)*(-o**2 + 2*o**2 + 4*o**2).\nAnswer: 35*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10*a**3*x**2 + 100643*a**3*x + 3*a**3 + 3998962*a**2*x + 10*x**2 wrt a?\nAnswer: 60*x**2 + 603858*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -960965*p**2 + 3843865*p - 20 = 0. What is p?\nAnswer: 1\/192193, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*u - 3*u - 80*u - 2.\nAnswer: -52*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 129 - 125. Which is the second smallest value? (a) -0.26 (b) -4 (c) 0.5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.8 and 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3966 a factor of 70779088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 28*j**5 - 19998*j**4\/5 + 63064*j**3\/5 - 70604*j**2\/5 + 31308*j\/5 - 782 = 0.\nAnswer: 1\/5, 1, 1955\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/3 - 8\/(-6). What is the second derivative of 0*o - 3*o - 3*o**4 + p*o**4 + 4*o**4 wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**2 - 2*q**2 + q**2 + 6*q**2. Let n be (1 - -2)\/(12\/8). Let j(o) = -n*o + 2*o + 2*o + 0*o. Give l(j(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 12, c: 1, x: 3}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of 19*g**5\/60 - 19*g**3\/6 + 10*g**2. Differentiate l(n) wrt n.\nAnswer: 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*x**3 + 3*x**3 - x**3 + 11*x**2 - x**3 + 6 + 8*x**2.\nAnswer: -3*x**3 + 19*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eqqbbeaezeba. What is prob of picking 1 q, 1 e, and 1 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the first derivative of -509*f**4\/2 + 2*f**3\/3 + f + 138. What is the third derivative of z(g) wrt g?\nAnswer: -6108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -680*g + 2732. Determine y(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -5*l - 37, 3*u - 118 = -19*l + 35*l. Suppose -j + 3 = -2. Solve 5*t - 2 = u*t + j*s, 5*t - 28 = -4*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1080 a factor of 2360358360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**3 + 7*k**2 + 6*k + 10. Determine b(6).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the first derivative of -3*f**5\/5 + 3*f**2 + 33*f + 649. What is the second derivative of t(b) wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 44902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k = -8, 4*t - 615*k - 24 = -620*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3575*o = 2815*o - 41800 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -252, -694, -1028, -1212, -1204, -962, -444?\n\"Answer: 7*o**3 + 12*o**2 - 527*o + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-53)*-109*(-210)\/57225?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**0*x)**17*(x*x**1*x)**(-20)*(x**(-2\/9))**(-13)*(x**(-1)*x)**(-17) assuming x is positive.\nAnswer: x**(-361\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 5, g: 2, v: 6}. Give prob of picking 1 g and 2 q.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (228*z**2 + 746 - 746)*(3*z**3 + 6*z**3 - 4*z**3).\nAnswer: 1140*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.1758 + -0.2508. What is z rounded to two dps?\nAnswer: 1.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*q + 2*q - 20*q.\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.23? (a) -10 (b) 4 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 7) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 588 divided by -28.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -7\/212?\nAnswer: -7\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0067181294 to five dps.\nAnswer: 0.00672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11734?\nAnswer: 2, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/40*(-5)\/2. Suppose -1 - 4 = 4*v - 5*k, -2*k = 3*v + 21. What is the closest to -1.6 in v, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**3 - u**3 + 4*u**3)*((13 + 15 + 1)*(u + 3*u - 3*u) + (7 - 2 - 4)*(u + 0*u + 0*u)).\nAnswer: 120*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*1*sqrt(72))\/sqrt(2))\/(4*sqrt(96)\/sqrt(2)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x**3 + 176478*x**2 - 352965*x + 176484 = 0.\nAnswer: -58828, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.1, 4, 0.1, -2.\nAnswer: -2, 0.1, 1.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 37 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x. Let c(y) = 10*y. Suppose -d + 3 = 1. Let z(h) = -2*h**2 - 38*h + 286. Let p be z(-25). Calculate d*c(t) + p*j(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**4 - 4*x**3 + 4*x + 2.\nAnswer: -2*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1285, -1230, -1175?\n\"Answer: 55*w - 1340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 3 + 1 + (4 - 2 + 0)*(0 + 1 + 0))*(-4*k - 1 + 1).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 706215672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 475334 is divided by 769?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 8*t**3 + 130*t**2 + 432*t + 104. What is d(-4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let 2*c**4\/7 + 528*c**3 - 67110*c**2\/7 + 123124*c\/7 - 59712\/7 = 0. Calculate c.\nAnswer: -1866, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 + 3*z**2 - z - 3. Let s be c(3). Let u(i) be the first derivative of i**4\/4 + 8*i**3\/3 + 3*i**2 + i + 1. Is u(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 134867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 4.54 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 2*z**2 + 36*z + 117. Let a be m(-3). Solve a*k - 31 + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 552 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -20*p**2 + 44016*p + 141056.\nAnswer: -4*(p - 2204)*(5*p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (70 + 132*p**2 - 70)*(250 + 117 - 116).\nAnswer: 33132*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-252)\/(-140)*-2)\/((-99)\/30).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21 - -103 - (12 - (60 + -52))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -8 + 23. Does c = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5605000 to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 1288212.\nAnswer: 1\/644106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 41, 58, 49, 2, -95?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u. Let o be c(2). Let v(j) = j**3 + 4*j**2 + 3*j. Let b(x) = -2*x**3 - 8*x**2 - 6*x + 1. Let d(m) = 3*b(m) + 7*v(m). Give d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 - 11*h**2 + 3*h + 3. What is m(-11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4*(-33)\/(-5544))\/((-3)\/88))\/((-78)\/(-273)).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the second derivative of 11*v**3\/3 - 811*v. Let k(j) = -j + j + 3*j**2 - 2*j**2. Give o(k(z)).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/5 + 4\/5*g**2 + 8\/5*g.\nAnswer: 4*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -0.1, 2\/5, -10 in descending order.\nAnswer: 4, 2\/5, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 67309 + -10*(-11)\/(-55) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + p - 4)*(-1 + 4 + 1)*(-p + p + 19*p).\nAnswer: 76*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.6 in -25\/6, 3, 2\/9, -1\/3, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 35848 and 2334601.\nAnswer: 18676808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 207 divided by 3.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 15464\/87 or 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, a: 1, q: 2, z: 6}. What is prob of sequence zd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 29, -12, -4\/3 in descending order.\nAnswer: 29, -4\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 22045 - 21956.59. Let z = i + -88. Let y = z - 3.41. What is the closest to -0.1 in y, -1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6.53 + 37.67. Let f = -40.2 + p. Let n be (-1)\/4 + (-6)\/(-16). Which is the closest to n? (a) 0.5 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 50\/87 and 52\/145?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 + -1. Let l = -12 + 27\/2. What is the smallest value in l, 2, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 0 + 3)*(2*f + f**2 - 2*f) + f**2 + f**2 - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*a - 13*a - a)*(0 + 2 + 0) + 1 - 3 + 2*a + a.\nAnswer: -15*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 60 (base 9) in base 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -52, 2\/15, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/2 (c) 1 (d) 842\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 - 3. Let p(s) = -3*s - 9. Let t be p(-5). Suppose l*v = t + 38. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s + 7 = 3*z - 2*s, 0 = -3*z + 5*s - 13. What are the prime factors of (z - 2)\/(11\/(-1969))?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7132950 divided by 6.\nAnswer: -1188825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 79 + -85. Let l(g) be the second derivative of g**4\/12 + 2*g**3\/3 + 5*g**2\/2 - g. Let y be l(s). Calculate the highest common factor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a + 2. Let r be j(0). Suppose -3*x + 6*x = -4*w - 11188, -r*x = 4*w + 11192. Round w to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*k + 3*z, -5*k + 5*z + 2 = 9*z. What is the derivative of 24 - 4*c**2 + 60*c + 7*c**2 + c**4 - 3*c**k - 118 wrt c?\nAnswer: 4*c**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3379.790574 rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 44? (a) -5 (b) -1\/10 (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 869 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -5356.06, 1\/6, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is 0.0018467 rounded to 5 dps?\nAnswer: 0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1.02, 5, -0.3, -0.08, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1931, 7700, 17313, 30770?\nAnswer: 48071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:03 PM and 10:53 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - 6. Which is the nearest to 0? (a) -1\/3 (b) -1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4 or -41.112?\nAnswer: -41.112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 36601751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2109233866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1*-0.029\nAnswer: 0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 149.0943kg?\nAnswer: 149094.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(((-2*sqrt(475) - sqrt(475))*-1 + sqrt(475) - (1 + sqrt(475) + sqrt(475) + -1))**2 - -3*(5 + -1 + sqrt(475))).\nAnswer: -7648 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -1412 (base 6) to base 14.\nAnswer: -1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3541 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/1602913 and 53\/1768?\nAnswer: 12823304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 29 - 15. Which is greater: d or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -9 - (-798)\/(-12) - 2\/(-4). What is the least common multiple of (-6)\/(-45) - 7940\/r and 14?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000042895 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98 = 5*c - 148. Suppose 8*t - 30 = c. Solve 23 = -t*d + 9*d + 3*i, -2*d + i - 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04641 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6 + 10 + 11)*(-y**3 + 0*y**3 + 3*y**3) to the form w + g*y**2 + f*y**3 + p*y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-15)\/m*m)\/m*m**(-8)*(m**11)**(-47) assuming m is positive.\nAnswer: m**(-541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes after 2:56 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 999, -88, -1175, -2262?\nAnswer: -3349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**2 - 175806*j - 10. Calculate h(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 31*f**3*m**3*s - 19*f**3*m**2*s + 127*f**3*s - 61*f*m**2*s + 2256*m**3*s wrt m?\nAnswer: 186*f**3*s + 13536*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 + -3.1. What is the nearest to w in -5, 1\/10, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**3 - z**2 - 4*z - 1. Let p be w(3). Let i(o) be the third derivative of -7*o**4\/24 - 1694*o**2. Let b(n) = 4*n. Calculate p*b(a) + 3*i(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes before 3:41 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(204) - 1*sqrt(204))*1)\/((sqrt(108) + sqrt(108)*1 + sqrt(108))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16 + 21. Suppose 3*c = l + 12 + 13, -2*c - b*l = -28. Let r = c - 7. Solve -2 = q + 1, -r*q - 7 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1477 is divided by 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -23 (base 16) in base 8?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5601, -11207, -16801, -22377, -27929, -33451?\nAnswer: -38937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2330847390 to the nearest integer?\nAnswer: 48279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the third derivative of -c**4\/3 - c**3\/3 - c**2. Let j be l(6). Let h = 84 + j. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 144628096 - 144627465.99717. Let i = 630 - j. What is i rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1214060 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the third derivative of -x**7\/21 - x**5\/10 - 12*x**2. What is the third derivative of i(y) wrt y?\nAnswer: -240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 + -11355161614?\nAnswer: -11355161606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.8? (a) 0.6 (b) -13 (c) 0.5 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*(q*q**8*q)\/q)\/q)\/q**(4\/3)*((q**(-1\/4)*q*q)\/q)**(-25\/3) assuming q is positive.\nAnswer: q**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6005676, -6005680, -6005686, -6005694, -6005704, -6005716, -6005730?\nAnswer: -6005746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1221 (b) 0.2 (c) -14 (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 182 - 494. Does 22 divide (1494 + 0)*(-13)\/f*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/4*9230\/(-15). Let q be ((-1)\/(-15))\/((-2)\/(-13503)). Let z = q - f. Calculate the common denominator of 107\/6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (24\/21)\/((-6)\/42)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-73)\/(-8))\/((44571\/1432)\/249).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of 2*b**5\/35 + 131*b**4\/14 + 3784*b**3\/7 + 79376*b**2\/7 - 170368*b\/7 - 166. What is p in f(p) = 0?\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/7 in -1, 0.2, 1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and -0.249.\nAnswer: -0.0747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 2 w when three letters picked without replacement from pzhwhhdhohpwhddph?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fe when two letters picked without replacement from {f: 5, s: 3, e: 8}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 8*b + 1. Calculate the remainder when 48 is divided by t(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k + 10. Determine j(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2 + 0.1. Let x = 0.2 + w. Let g = -0.357 - -0.057. Which is the nearest to x? (a) -3\/2 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*y - 15 = 44*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -3*d**3 - 8*d**2 - 14. Let o = 201 - 177. Suppose -o*k = -25*k - 8. Let c(m) = m**3 + 3*m**2 + 5. Calculate k*c(a) - 3*j(a).\nAnswer: a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 48023 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 3430, 6834, 10240, 13648?\n\"Answer: s**2 + 3401*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*t = 5*t. Let s(m) = -m + 4. Let y be s(5). Let d = y + t. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 23 = -y, 4*i + 8 - 4 = 0. Solve -6*h - y = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 228 and 11476?\nAnswer: 34428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -1231 (base 6) to base 2.\nAnswer: -100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1, -124 in descending order.\nAnswer: 0, -1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -48899318*q**6 + 71280546*q**2.\nAnswer: -5867918160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 108385501?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14 - -15. Let m be l - (0\/(-1) - 14). Suppose 0*s + m = s. Calculate the greatest common factor of 165 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 638, 633, 626, 617?\n\"Answer: -o**2 - 2*o + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 - -8. Let p = s + -3.1. Which is the second smallest value? (a) p (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 16 = 3*x. Suppose f - 2*q = 5*f - x, 3*f = 3*q - 6. Is -19 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 62.\nAnswer: 1, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 48558241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 222.4 + -204. Let w = z - 13. Let o = w - 5. Put o, -0.5, -2\/15 in decreasing order.\nAnswer: o, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 201121 - -2012200?\nAnswer: 2221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.2, 4, -0.5, 4\/7, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4503506 is divided by 66228.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1729.32 - -1772. What is h rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6339310693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/12 - 841\/(-4). Calculate the common denominator of 5\/(-6)*(-84)\/(-40) and 1479\/j - 6\/15.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -138833 (b) 23 (c) 2 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 2*v**2 + 5*v - 2. Let m be ((-4)\/(-6))\/(1\/(-6)). Calculate x(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 2*o + v, 0 = 3*o + 5*v + 2 - 22. Put 3, 53, o in decreasing order.\nAnswer: 53, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 4*q + 3*z - 3 = 0, 21 = 5*q - 3*z. What is the first derivative of -43*p - 74 - 7*p + 5*p + q*p wrt p?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 8*d + 2. Let u(i) = 2 - 2 - i. Let v(w) = h(w) + 6*u(w). Differentiate v(q) with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 984 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 929988360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 20.1865354 and -1.\nAnswer: -20.1865354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.19099383 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mcs when three letters picked without replacement from amacascacamccaascac?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(168)\/(-2*sqrt(8)))\/((sqrt(14)*2)\/sqrt(2)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((175\/50)\/7)\/(5\/(-170)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 40312140 to the nearest integer?\nAnswer: 6349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -25.8985538 to 2 decimal places.\nAnswer: -25.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 81008 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 0 - 2)*(4*s - 72 - 77 + 145).\nAnswer: 12*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -51 - (28 - (-41 - -86))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 3*n. Let g be m(1). Let s be g\/((3\/3)\/3). Is (-3)\/s + 13\/3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + i**3 - 1901*i + 2633*i + 3*i**3 - 3*i**3 - 4*i**3 as a*i**3 + b + l*i**2 + x*i and give x.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 18 (b) 0 (c) -434\/25 (d) 0.5 (e) -4 (f) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 789 - 789.5. What is the third biggest value in l, -39\/14, 0.4?\nAnswer: -39\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/(30\/(-35)) + -5. Solve -4*y + 4 = 2*j, 0*y = r*j + y + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*m - 527497000 = 2*m - 6*m. Round m to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*k - 8*k = 2*x + 12, 3*x + 12 = 0. Suppose -3 = -k*f - 5*w, -10 = 5*f + w + 17. Let l(i) = i + 2. Determine l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6598?\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -242 divided by 2\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 60\/84*(-4)\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.0334503kg?\nAnswer: 33450300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -15009 and 14.145?\nAnswer: -212302.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 860*y + 192931. What is c(-225)?\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 13510 - -35?\nAnswer: 13545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -12*i**5\/5 - 278*i**4\/5 + 1822*i**3 - 3182*i**2 + 5662*i\/5 + 1428\/5 = 0. What is i?\nAnswer: -42, -1\/6, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -14 - -21. Let y be 8*1 - (2 + 0). Suppose -u + 2*r - y = 0, -4*u + r - 2*r = -21. Solve -u*k + z = -5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -125 + 125.16. Let z = 1222 - 1221.7. Which is the second biggest value? (a) h (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48021 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4\/(-3))\/(-4 - 520\/(-117)). Suppose c - 3*k + 7 = -0*k, -k = -2*c - 14. Let w = d - c. Solve 4*v + 3*h - 21 = w*h, -4*v = 4*h - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, a: 1, c: 1, s: 2}. What is prob of picking 1 c and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 5*c + 3038 + 1524 = 0, 4*c - 4559 = g. Let k = -2344 - g. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3795 or 3799?\nAnswer: 3799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 2*w = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.23 - 0.07. Let w = 0.2 + -0.1. What is the nearest to w in 2, 2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3949 + 6766. Let t(z) = -44*z - 10715 + u. Let y(p) = -9*p. What is -5*t(n) + 24*y(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-40)\/6*(-174)\/(-232). Which is the second biggest value? (a) -2 (b) l (c) 2\/11 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 60*g + 484. Let n be u(-8). Put 359, 5, n in descending order.\nAnswer: 359, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25835 is divided by 574.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 4 = -0. Let b = d + -1. Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -5 (b) -66 (c) -2 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 237929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z**5 - 2*z**2 + 2*z**2)*(9 + 5 + 16) - 23*z + z**5 + 23*z + (6*z**2 - 4*z**2 + 0*z**2)*(0*z - z**3 + 0*z).\nAnswer: -61*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of 0 and 23.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 272 a factor of 108008908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 273946471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 + 4. Let u be 2*(-3)\/(-6) + c. What is the third derivative of -3*r**4 - 2*r**2 - u*r**2 + 3*r**2 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15509057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35211*p**2 + 4 + 35211*p**2 - 1 + 2 - 3 - 70424*p**2.\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37764, 75529, 113294, 151059?\nAnswer: 188824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 31486 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 AM and 9:14 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - (-2 + -2)) + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 3*w = -4*v - 47, 0 = 5*v + 4*w + 56. Let f = 12 + v. Which is smaller: 3\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - 27 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sszspbspzzztp. Give prob of picking 1 s, 1 t, and 1 z.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-15*24\/(-84))\/(1377\/(-1428))\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the second derivative of u**5\/10 - u**4\/12 + u**3 + 1707*u**2 + 19*u. Differentiate q(p) wrt p.\nAnswer: 6*p**2 - 2*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of v**3\/3 - 8*v**2 + 7*v + 24. Let x be u(8). Let i = x - -61. Sort 3, -12, 5, i in ascending order.\nAnswer: -12, 3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 183896.\nAnswer: 2, 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -6 + (0 - -8) - 3 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -29, 11, 0.2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let -2*u**3 + 3984*u**2 - 2316840*u + 316110368 = 0. What is u?\nAnswer: 196, 898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100101 - 1?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 10529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 294642483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1908772*f**2 - 734530.\nAnswer: -3817544*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:38 PM and 12:29 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h - 4*u - 16, 377 - 340 = -2*h - 5*u. Determine k, given that -2\/9*k**h + 0*k**2 + 0 + 14\/9*k**3 + 0*k = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(((sqrt(242)*1 - sqrt(242))*-1 + -5)**2 + (sqrt(242) + 2 - sqrt(242))*-4 + 5).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (24 + 2 - -2) + -1. Let u be 2*11 + (-418 - -414). What is the greatest common factor of u and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -747*j + 371*j - 29 + 374*j.\nAnswer: -2*j - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 2*o**3 + 23*o**2 + 11*o + 3. Let n = -184 + 173. Give w(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -540*x - 463. What is p(-1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 627 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add together 3 and 42089616571004.\nAnswer: 42089616571007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 8226.826 nanometers in millimeters?\nAnswer: 0.008226826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 4*d - 3*d + 24 + 0*d + 6*d. List the prime factors of l(7).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -422*c*d*r + 2*c*d - 2*c*r + 47*c - 2547*d**2 + 29*d - 19*r - 8281 wrt d.\nAnswer: -422*c*r + 2*c - 5094*d + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -3 (b) -4 (c) -1 (d) 0.0741 (e) -3.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = 5*b. Solve -3*c - 4*w - 3 + 0 = b, -3*w = 2*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11403142143 (base 5) in base 16?\nAnswer: cb7620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the second derivative of 2*b**3 - 30*b**2 - 74*b. Is i(32) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*l + 19320 = 68*l. Calculate the greatest common factor of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 4*k**2 - 170*k - 131. Let a be n(21). Do -1943 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -7908484980 to the nearest 1000000.\nAnswer: -7908000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 + 5*l**2 + 8*l - 11. Let i be z(6). Solve -4*u + 15 = 4*o - i, 0 = -4*u - o + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*a + 6 = -11*a - 3*x, -a + x - 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2*(-3 + (-44)\/(-16))*0. Let r(t) = t**3 - 3*t**2 - 4*t - 2. Let y be r(5). Suppose s = -6*b + 10*b - y. Solve -b*g + 5 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 <= -0.28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times -7014228?\nAnswer: 2805691.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 110475*i**4 + i**2 + 310387.\nAnswer: 441900*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + u + 12 = -2*u, -2*t - 3*u = 17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1317, 1263, 1151, 963, 681, 287, -237, -909?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8\/2065 or 1164?\nAnswer: 1164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -74*r - 1040. Let m be u(-14). Suppose 8*k = 3*k - 5*j - 10, 0 = -2*k - 5*j - 4. Put 5, k, m, 3 in descending order.\nAnswer: 5, 3, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 2*j**3 - 1 - j**3 + 3 - 3*j**2. Let f(c) = -11*c + 15 + 4*c**2 + 6 - 3*c**2. Let r be f(9). Give d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes before 2:10 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are -15872 and -15054 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -231 - -27235?\nAnswer: 27004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 4*s**2 + 4*s + 3. Let u(w) = -1 + 49*w + 50*w - 150*w - w**2 + 49*w - w**2. Calculate -2*j(l) - 5*u(l).\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1300 (base 7) in base 10?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 8) + 2 - (0 + -122) - (6961 - 6964)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-144)\/6*-1 + 1. Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j - 7 + 0*j + 14*j**2 - j**3 + 2*j**3 + 3. What is the tens digit of x(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10 and 36740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**2 - 3*c. Let h(s) be the third derivative of s**6\/120 - 2*s**5\/15 + 3*s**4\/8 - s**3\/2 + 2*s**2. Let z be h(7). Let d = z + -15. What is q(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -149\/65450 and -93\/2758?\nAnswer: 12893650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 575620.9ug?\nAnswer: 0.5756209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 11. Let i(f) = f**3 + 6*f**2 + 4*f + 2. Is i(a) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes after 12:50 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 + 8*t**2 - 8*t + 10. Let m be z(7). Suppose 5*j = -m*j + 4648. Does 54 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 6*f**2 + 5*f + 6. Suppose 15 = m + 2*m. Let z = 6 - m. Let k be (3 - (-3 + 2))*z. Let n(p) = 13*p**2 + 11*p + 13. Determine k*n(u) - 9*o(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1327 divided by 4\nAnswer: -1327\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1536 is divided by 725.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 396 divided by -2\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -12406734 divided by -6\nAnswer: 2067789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**2 + 3*j - 2. Let c be d(-4). Calculate the least common multiple of c\/(-4)*(-14)\/1 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**2 + 16*l + 12. Give d(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -1038*x + 1027. Calculate y(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2567358 divided by -29853.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - f + 12 = f, 0 = 2*b - f - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -2*r**2 + 19*r + 121. Let n = 663 - 649. Let y be g(n). Put 16, y, 1 in ascending order.\nAnswer: y, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 1 - (11 - 5 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the third derivative of -5*o**4\/24 - o**3\/6 + 98*o**2. Let f(a) = -11*a - 4. Let j(k) = -6*f(k) + 13*w(k). Calculate j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -21771018*o**4 + 132315065.\nAnswer: -87084072*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4\/9 (b) -3 (c) 0.4 (d) -141 (e) 0.04 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 19995041 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 - -1. Let x = -4 - -9. Suppose 3*j = 5*o - 10 - 7, 0 = x*o - 20. Is j at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2522 divide 104715144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -956928 divided by 14?\nAnswer: -68352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -14.6627743 to 1 decimal place.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 142*a - 3817. Let k be h(28). Solve -14*w + k = 243 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lqomllmoocll. What is prob of sequence mm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 379 = 3*i, -281*i - 35948 = -101*n + 97*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 4 - 13*c + 4 in the form u + l*c and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -462, -6343, -23050, -55995, -110590, -192247, -306378?\nAnswer: -458395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yiiiiiiyi. Give prob of sequence yyi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 97480*m**2 + 154*m - 2. Let k(j) = -j. Calculate b(k(d)).\nAnswer: 97480*d**2 - 154*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1675, -1680, -1685, -1690, -1695, -1700?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*o + 3988 - 4036. Suppose -5*r = 3*q + 35, -5*r - 8 + 3 = -3*q. Let l be (-2130)\/(-24) + 3\/r. What is the highest common divisor of o and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 471 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -8e7b64 (base 16) to base 14.\nAnswer: -1350d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -6668*n**3 + 8*n**2 + n - 6. Let x be o(6). What is x rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/252*45)\/((-3)\/(-21))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6328682 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 46 = -2*x, 9 = x - 3*n + 4. Suppose -8*i + 9*i = -x. Let a = -16 - 2. Is a less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3652026626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 504104251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {w: 1, i: 7, l: 6, f: 3, o: 2}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -18 + 16. Put 0, r, 1\/4 in descending order.\nAnswer: 1\/4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21493140047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4830\/(-147) + 32 + (2421\/1281 - 1)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwgz when four letters picked without replacement from {s: 1, w: 6, g: 1, z: 4, r: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -10037 by 1149.\nAnswer: -10037\/1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 7*l + 18*l = -18. Is l != -286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -180*p = -177*p + 2*z - 23, -5*p + 41 = 4*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -16*l**2 + 2*l - 7. Let i(z) = -82*z**2 + 11*z - 35. What is -2*i(g) + 11*u(g)?\nAnswer: -12*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 84 - 174 - 55*g + 93 + 0*g**2 + g**2 + 0*g**2 to j + p*g**2 + s*g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 1 = l + l, 2*l - 2 = 4*u. Which is the closest to -1? (a) 3 (b) 2\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 981769.85661 and -0.2?\nAnswer: 981770.05661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/1120 and -77\/576.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xj when two letters picked without replacement from jjjxjjxjdjjjjj?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 11*h. Let b = -80 + 81. Let f(u) = u - 2. Let k(c) = c - 4. Let m(p) = b*k(p) - 2*f(p). Give m(r(j)).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 203 - -5?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 289459.4ml?\nAnswer: 289.4594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f**4 + 2890*f**3 - 271395*f**2 - 2890*f + 271400 = 0. Calculate f.\nAnswer: -1, 1, 118, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -2*r**2. Let o(a) be the third derivative of 31*a**5\/60 - 50*a**2. Determine h(o(u)).\nAnswer: -1922*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 36377 at most as big as 36378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*v + 3 - 7, m = 4*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + j)*(0*j**4 - 5*j**4 + 3*j**4 + (39*j**4 + 17*j**4 - 40*j**4)*(-5 + 3 + 4) - 24*j**4 + 49*j**4 + 84*j**4).\nAnswer: 139*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 j when three letters picked without replacement from jpqjpyqlqpp.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1169 - 1169.2. Suppose -22 = -3*f - 10. Suppose f*d + 5*h = d + 17, 13 = -d + 3*h. Which is the closest to d? (a) 6\/5 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 - -3. Let z = -0.5 - -0.3. Let j = z + -0.3. Which is the nearest to 0? (a) j (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (0 + 8 - 5) + (-1 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(17) + -1)*6.\nAnswer: -18*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88 + 98 = 2*p. Let q = -52 + p. Let r = 78 - q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4198 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 101521 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -7498 divided by -163\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.491 and -1.16489?\nAnswer: 0.57196099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -39 + 43. Suppose 5*x + m*h - 2 = -5, 4*x + 4*h = -4. Solve 4*a - 2*z = 3*z + 21, -x = -a - 3*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 318668 is divided by 105531.\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2153 + -1117. Let v = a - 2118. Let b = -1077.51 - v. What is b rounded to one dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7274876, -7274875, -7274874, -7274873, -7274872?\nAnswer: -7274871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*(i**13*i)\/i)\/((i*i**(-27))\/i) assuming i is positive.\nAnswer: i**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 15*v. Let g(a) = 15*a. Calculate 5*g(y) - 4*s(y).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19152, -28561, -37970, -47379, -56788?\nAnswer: -66197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 249 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 4214 (base 5) to base 11\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 36\/45 + ((-21)\/(-5) - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 5 - 1 = 0. What is the second derivative of h**3 - 2*h**3 - h + h**l - 3*h**3 wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 41, -15201, 5 in increasing order.\nAnswer: -15201, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 10.1 * 7.\nAnswer: 70.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5487602\/80723565 + 2\/316563. Find the common denominator of 32\/51 and g.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1809*y**2\/4 - 77781*y\/4 + 129\/2.\nAnswer: -3*(y + 43)*(603*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ixxiipixxpwpx. Give prob of picking 3 x and 1 w.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*j + 5238808 = 30*j + 91*j. List the prime factors of j.\nAnswer: 2, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -59 - -69. Solve 11*m - q = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -2*c**2 - 3*c + 1. Let w(h) = -h**3 + 5*h**2 + 8*h - 10. Let q be w(6). Determine y(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -268324 + 0*h**3 + 268321 + 16*h - 16*h - 5*h**3.\nAnswer: -5*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3752969946 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -17 - -44. What is the smallest common multiple of 12 and r?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2 - 75*g + 1314. Calculate s(15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15392, 18141, 22724, 29141, 37392, 47477, 59396?\nAnswer: 73149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 38 + 5*h + 42 - h**3 - 109 - 6*h**2 + 39. Let f be s(-7). Is 25 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the third derivative of 2*n**7\/315 + 11*n**6\/45 + 11*n**5\/3 + 26*n**4 + 72*n**3 - 932*n**2. Determine b, given that o(b) = 0.\nAnswer: -9, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (k**5 - 4*k**2 + 4*k**2)*(1 + 2 - 5) - 3*k**5 + 0*k**5 - k**5 + (-2*k**4 + k**3 - k**3)*((2*k + 3*k - 6*k)*(-2 + 1 + 0) - 4*k - 4*k + 5*k).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the second derivative of b**3\/6 - b**2\/2 - 50*b. Give v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1004128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is n in 2*n**2 + 44*n + 42 = 0?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 6, d: 4, c: 2}. What is prob of picking 2 d, 1 c, and 1 a?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/(-27))\/(24\/6)*135\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3 - -43 - (-15 + 48)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 + 1 + 10 - 218125*j**2.\nAnswer: -218125*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 - 8*x - 5. Let o be y(-7). Suppose -27 = -o*q + 19. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(14\/(-10) - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3049859\/588 + -20745\/4. What is the common denominator of i and -64\/3?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*q - 115 + 20 = 0. Suppose q*y = 12*y - 93667. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 59774 and 63015750.\nAnswer: 63075524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 3, w: 7, x: 3, s: 2}. What is prob of sequence wsb?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 36*x - 9. Let u(r) = -33*r**2 - 825*r - 1. Let s be u(-25). Let b(a) = 2 - 1 + 0. Let i(k) = s*q(k) - b(k). What is the derivative of i(p) wrt p?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1170608 is divided by 7362?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1166 divided by 583.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.84 + -1.34. Let g = 3 - 7. Let j be 2\/3 + (-1 - 2) - -3. Which is the smallest value? (a) x (b) g (c) j (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 13) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/1483, -180, 2\/13 in decreasing order.\nAnswer: 2\/13, -2\/1483, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 11, 65, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11241 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1269 + 4*n**2 - 88*n + 26*n + 4976*n**3 - 421 - 423 - 420 wrt n.\nAnswer: 29856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f - 8, 4*f - 5 = 6*b - 3. Solve 5*a + o - 5*o - 4 = 0, a - b = o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 871\nAnswer: 2\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Do 1023233193 and 1023233191 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 29\/31 at most 983582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of 12686.74473 and 1.74.\nAnswer: 12688.48473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 13, 38 in decreasing order.\nAnswer: 38, 13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -41 (base 8) to base 12.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((3\/24)\/(2\/(-16)))\/((-660)\/12).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*g + 154*g = 89 + 311 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3 - -1)*(-19)\/1102. Let i(d) = d**2 - 14*d + 33. Let c be i(10). Let a be (3\/9)\/(c\/21). Is t less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/84*7\/(-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1547 is divided by 501?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 517 - 516.9. Let o = 21 - 13. Let m = o - 6. Sort l, m, -3\/2.\nAnswer: -3\/2, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -157806, -159241, -160676, -162111, -163546, -164981?\n\"Answer: -1435*m - 156371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -27 + (15 + -4 - 18) + 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 5*q + 12 = 0. Let l(a) = a**2 + 5*a - 4. Let f be l(q). Solve 0 = 4*x + 3*g - f*g - 13, -4*x + 2*g = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 + 25 = 9*m. Solve m*u + 3*h - 15 = 0, -u - 5*h = 3*u - 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, -3, 25\/2283 in ascending order.\nAnswer: -3, -1\/2, 25\/2283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 432 is divided by 134?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:06 PM and 1:40 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 8709672*o - 8709522*o = 9900 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - 12 = -2*g, m + 2*g = -139828 + 139816 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:00 PM and 6:36 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8.4 + -8. Sort c, -12, -5 in increasing order.\nAnswer: -12, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0 + (-12 + 6 - 0\/1). Let x(c) = 10*c**2 - c - 13. Is x(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes after 5:53 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 3:39 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k + 8. Let w be v(-9). Suppose 25 - 10 = -5*f. Put w, 0, f, -5 in descending order.\nAnswer: 0, w, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 22 and -1095.3.\nAnswer: -24096.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.2, 38, -2\/15, -5\/4, 0.06?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, 0.5, -3\/7, -3, -178\/5, 8 in descending order.\nAnswer: 8, 0.5, -3\/7, -2\/3, -3, -178\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 + 5*i + 4. Let a be z(5). Suppose 3*u = o + 636005, -4*o + 8*o = -a*u + 847980. What is u rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 441*j - 5979 + 1663 = 109*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1003567, 1003568, 1003569?\n\"Answer: l + 1003566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5916222 millilitres in litres?\nAnswer: 0.0005916222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 845 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 22*t**2 - 10*t - 1294. What is the units digit of a(-52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 926, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 426 and 51?\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1*(3 - 1 - 5). Let k = -1 - p. Let z(h) = k*h + 2*h - 5*h - 1 + 9*h**3. What is z(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/14042 and -193\/4784310?\nAnswer: 33490170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(143) - -2*sqrt(143)))\/(4*(sqrt(22)\/sqrt(2) + sqrt(11))).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the first derivative of -y**7\/21 - y**6\/15 + y**5\/10 + y**4\/6 + 2*y - 2. Let b(o) be the first derivative of l(o). Factor b(u).\nAnswer: -2*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (32 - 9 + 9)*((-3*l + 2*l - 2*l)*(-5 + 0 + 3) - 4*l + 2*l + l).\nAnswer: 160*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 5*c = 4*c + 1789, -2*d = 5*c + 1170. Let w = 857 + d. Which is greater: w or 261?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -68*b = -571 + 125 - 506 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 2 + 2)*(-7 + 2 + 3)*(11*g**2 - 6*g**2 + 5*g**2) in the form j*g + y + w*g**2 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2890 divided by -578?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 353490 divided by -3\nAnswer: -117830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be (891\/54)\/(3\/54). Suppose 6*i = -g + 609. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 65 - 25. Suppose 2*v - s = -3*v. Let r(b) = 2*b - 1. Let z(x) = 2*x - 3. Let a(g) = -3*g + 4. Let u(y) = -5*a(y) - 6*z(y). Give v*r(p) - 5*u(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5684? (a) 3 (b) -7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-8 - -13)\/((-15)\/(-9)). What is the first derivative of 21*g**i + 7 + 23*g**3 - 44*g**3 - 87*g**4 - 84 wrt g?\nAnswer: -348*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 15*z**2 + 35*z - 1. Calculate l(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (-95)\/(9 - 5 - 5) and 5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1740451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.2 - 1.3. Is 0.08 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-100)\/(-70))\/(-23 + 4 - -18 - 237\/(-231))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**3 + 75*o**2 - 558*o + 1080.\nAnswer: -3*(o - 12)*(o - 10)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**3 + 18*i**2 - 16*i - 20. Let j be p(17). Let o = -99.44 + 99.94. Which is the fourth smallest value? (a) o (b) j (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(11) + 3))**2 - sqrt(11))*3.\nAnswer: 69*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from ckd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, 4, 0.3, 2.4, -0.4 in decreasing order.\nAnswer: 4, 2.4, 0.5, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.02 + 94.98. Let p = c - 96. What is the second smallest value in 0.01, p, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -91*n + 67*n - 52*n + (2*n + n + 0*n)*(-4 + 3 + 5) to the form l + c*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.1 - 0.09999069. What is p rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 13580 and 12?\nAnswer: 40740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 5*m**3 - 3*m**2 + m - 2. Let z be y(2). Calculate the common denominator of (2\/z)\/((-2)\/236) and -28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13277175.\nAnswer: 3, 5, 211, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-3)\/b**(-6))\/((b\/(b*b**(1\/5)\/b))\/b**(6\/11))*(b\/b**(1\/6)*b*b\/(b*b\/b**(-3)*b))\/(b**0)**(1\/9) assuming b is positive.\nAnswer: b**(-139\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 2 + 4 = 2*n, 0 = -3*n + a + 7. Suppose 5*x = 5*s - 40, -n*s + 3*x + 12 = -s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 56*w - 49. What is h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1300209.\nAnswer: 3, 347, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 6*n - 5*v - 163, 2*v = -3*n + 105. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uszszzzzzuzzzxxx. What is prob of sequence zzz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 5*y**2 - 133*y - 149. Is 18 a factor of t(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c**2 + 0*c**2 + c**2)*(12*c + 215 - 215)*(0 - 18 - 14).\nAnswer: -384*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 13533, -3, -1, -2 in descending order.\nAnswer: 13533, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20, 27, 32, 35, 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -6*v**2 - 15. Let x(z) = 6*z - 4. Let o(t) = -25*t + 20. Let u(f) = 2*o(f) + 10*x(f). Give d(u(y)).\nAnswer: -600*y**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 195 is divided by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 4*k + 0*k**3 - k**3 - 6*k**4 - 4*k**2 + 2*k. Let c(m) = m**4 + m**2 - m. Let z(u) = 2*u - 7. Let v be z(6). Let l(n) = v*c(n) + h(n). Factor l(b).\nAnswer: -b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1885731784 to the power of 1\/3, to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 122056296823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**2 - c + 1. Let q be m(-2). Let j be (-12)\/42 - 40\/q. Let f be (-19)\/30 + (-3)\/j. Put f, 5, -5 in descending order.\nAnswer: 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -2*s**2 + 11*s + 1. Let k(u) = 5*u**2 - 23*u - 3. Let h(x) = 7*c(x) + 3*k(x). Let v be h(-4). Is 5 a factor of (v\/(-8))\/((-6)\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -107, 2, -28, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 309*o - 11892. Calculate the remainder when h(42) is divided by 98.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l**2\/3 - 83197*l - 1747186\/3 = 0. Calculate l.\nAnswer: -7, 249598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7228 and 39.\nAnswer: 21684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 4*n - 14. Suppose 4*c = -3*w + 16, c - n*c + 5 = 0. Factor 27\/4*g**5 + 0*g + 0 - 3\/2*g**2 + 12*g**w + 15\/4*g**3.\nAnswer: 3*g**2*(g + 1)**2*(9*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes before 3:31 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11600000 = -4*v + 4*q, 0*v - 4*q + 5800000 = -2*v. What is v rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2*(-3)\/2 + -2. What is the third biggest value in p, -7\/3, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0777 take away -65922997?\nAnswer: 65922996.9223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 2 b, and 1 l when four letters picked without replacement from lllllbbkkll?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g - 5*k, 2*g + 4*k = -1 - 9. Suppose -g*i + 24 + 6 = 0. Suppose -3*b + 4*d = -120, b + 5*d = i*b - 195. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -3187249 and -0.084.\nAnswer: -3187249.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: -5*-2.94\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 3*f = -3*c + 31941, f + 42608 = 4*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -3*c - 2. Let u(k) = -6 + 2*k + 6 - 7*k - 5. Determine -5*f(s) + 2*u(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**2 + 23*j - 14. Let g be s(-24). Suppose 8 = 5*f + 18, d = 3*f + g. Calculate the lowest common multiple of d and 4\/10 + (-13)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16638362\/15939 - 23997\/23. Let u = a - -1\/63. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -79 - -77. Let l be -1*(0\/w + -4). Solve -l*f = -5*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5872 or -5873?\nAnswer: -5873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 8 * -0.57156.\nAnswer: -4.57248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*m - 2. Let t = 16 - m. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15407 - 3435754\/223. Let x = i - -17101\/2230. Calculate the common denominator of x and (-1 + 0)*2\/(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mot when three letters picked without replacement from tocmcoo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s + 5*s = -2244. Suppose -3*c = 3, i + 3*c - 2*c = s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**2\/2 + 20739*l - 143368707\/2.\nAnswer: -3*(l - 6913)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 + 5. Suppose 8*k - f*k - 10 = 0. Solve k*w - 12 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 132803080 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -533\/6 - -89. Which is the fourth biggest value? (a) f (b) 6 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 3*k + 112 = 0. Let 8*u**2 - 21*u - u**3 + 26*u - 10*u - k = 0. Calculate u.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes before 2:22 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 8:26 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 4736, 4719, 4690, 4649, 4596, 4531?\n\"Answer: -6*u**2 + u + 4741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s - 2*s - 3*v + 714, s - 5*v - 167 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p - 4, 2*s - 2 = s - 5*p. Suppose 4*d - v = -0*d + 78, -3*d + 3*v = -54. Calculate the remainder when d is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 492399070 is divided by 3384.\nAnswer: 3382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sum 375 and 41678606552.\nAnswer: 41678606927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -131016, -131017, -131018?\nAnswer: -131019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1438*0.5.\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 339883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -20*p**2 - 134*p + 51. Give u(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 304\/(-114) - (-832)\/195\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 416137 is divided by 1380.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 53447\/8292 - 20\/691. Find the common denominator of m and 79\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - 1\/(-2))*2. Let r be 6\/14*2\/p. Factor -r*l**2 + 4\/7*l - 2\/7.\nAnswer: -2*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {s: 1, c: 5, z: 4, b: 6, q: 4}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 34.77955 millimeters?\nAnswer: 0.00003477955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is q in 2205*q**5 + 14392455*q**4 + 23494138835*q**3 + 27951690085*q**2 + 4684884880*q + 212943380 = 0?\nAnswer: -3263, -1, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*v = 26*v - 15. Suppose -p + 24 = -0*p - v*t, -16 = -5*p - t. Let k be 8\/(-44) - (587492\/(-22) + p). What is k rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (760070*o + 2*o**2 - 760070*o + 1607)*(-o + o + o).\nAnswer: 2*o**3 + 1607*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4938 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 471611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 56527 and 1240.\nAnswer: 70093480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2388711.9 months in years?\nAnswer: 199059.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**2 - 11*h + 33. Let z = 328 + -321. Let c be g(z). Let d(t) = -t**2 + 7*t - 3. Give d(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -62 + 70.91. Let h = -9 + a. Let t = -0.1 - h. Sort t, 5, -2\/7 in ascending order.\nAnswer: -2\/7, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31199?\nAnswer: 7, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 - 28 = -21*x + 246 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -30.039 - -30. Let m = y - -0.0206. What is m rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-33 - (0 + 11)) + -14?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(1008) + 2 - 1*(-1 + sqrt(1008)) - (4*-1*(sqrt(1008)*2 + 3))**2.\nAnswer: -64653 - 2280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 61918 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -26 - 431719891.\nAnswer: -431719917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 154619 + -100661. List the prime factors of j.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.983258 rounded to 3 dps?\nAnswer: 0.983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*m - 9*m = -285. Suppose 4*h - m = 5. Solve 4*r + y + 12 = h*y, y - 11 = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -4*q + 4 + q + 0*q. Let w(m) = 6*m - 9. Let f(b) = -13*v(b) - 6*w(b). Let c(j) = -2*j - 1. Calculate -5*c(n) - 3*f(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be 95\/(-2)*(1 - (-27)\/(-15)). Suppose -4*h + 19 = -1. Suppose h*f = 312 + g. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 30676 + -30660. Calculate the highest common factor of c and 218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 23 = -3*h, -l - h + 4*h = 19. What is the units digit of (-1335)\/(-25) - l\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7245*z**3 + 5080*z**2 + 114782460 with respect to z.\nAnswer: -21735*z**2 + 10160*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -105, -233, -485, -921, -1601, -2585, -3933, -5705?\nAnswer: -7961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 60 = 2*n - 3*i, -40 = n + 4*i. Let g(v) = -9*v - 100. What is the tens digit of g(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -97608 divided by -7\nAnswer: 13944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 + -2. Let b be 1 + (r - -3)*-1. Suppose -5*k = -b*k - 80. Solve -x + k = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5087411 is divided by 975?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -2*t**2 - 6*t**3 - 2*t + t**3 + 0*t**2 - 2 + 4*t**3. Let v(d) = -8*d**3 - 17*d**2 - 17*d - 17. What is 6*v(c) - 51*z(c)?\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 38220 by 156.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -7, -5, -220\/549, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 2*o**2 - 4. Let w(a) = 2*a**2 - 5. Let v(y) = y**2 - 23*y + 81. Let s be v(19). What is s*l(d) - 4*w(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1*4\/8*12. Let g(t) be the first derivative of 2*t**2 + 5*t + 2. Let w(j) = 7*j + 10. Let s(y) = -5*g(y) + 3*w(y). Give s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 577740?\nAnswer: 2, 3, 5, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 996 is divided by 202.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7\/873 + -859\/1746. What is the nearest to 0.06 in -4\/7, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - n = -0*q - 10, 5*q - n = 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -408*k + 410*k - 56 = 3*c, 100 = 5*k - 5*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 21\/(-4) + (-1)\/(-4). Let y = t + 4. Suppose -5*j = 2*x + 2*x + 33, 2*x + 24 = -4*j. Sort x, 3, y.\nAnswer: x, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = 9, 2*g + g = -16*s + 13*s. Sort -1, 3, 5, 4, g in decreasing order.\nAnswer: 5, 4, 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 7*q**3 + 1061*q**2 - 14271*q - 214. Determine u(-164).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7668 - 4093. List the prime factors of s.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes before 7:44 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from jjjjjii?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.7246 to two dps.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**2 + 5*n - 66. Let x be k(18). Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/117 (b) -2 (c) 0.4 (d) 1\/2 (e) -1.54 (f) 1\/3 (g) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 + (((-7)\/(-8))\/7)\/(3\/(-42)). Let r be (-26)\/24 - 1\/4. What is the smallest value in 4, r, t, 1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.495136997728 minus -0.46?\nAnswer: -2.035136997728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n = -x - 5 + 23, 3*n + 20 = 4*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/14*4 - 0. Let n = -8 - -11. Let k = n - 2. Put -4, v, k in decreasing order.\nAnswer: k, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m = -13*m - 1220. Let s be (0 - 16\/20)*m. Suppose 608 = 6*c - s. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 39 and 14896758.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -16 + 16 - 13 - -20\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/p**9)\/(p\/(p*p*p*p**46*p)))**(3\/14) assuming p is positive.\nAnswer: p**(123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -309?\nAnswer: 5\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:37 PM and 12:29 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 10 + 3*h - 10 + (53 - 16 - 15)*(-9 - 12 + 19 + 12*h).\nAnswer: 267*h - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-2)\/o)\/(o\/o**(-2\/9)))\/((o*o**(-4\/5))\/(o**(-3\/2)*o))*(o**5\/(o\/(o\/(o\/(o\/((o\/o**(-3\/5))\/o))))))\/(o**1)**(-5\/6) assuming o is positive.\nAnswer: o**(59\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the first derivative of 1 - 1\/2*c**2 + 6*c. Let y be g(3). Solve y*z = -13 + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/8946 and -1\/9609.\nAnswer: 28654038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 8 - (16 - 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 3*h**2 + 2*h - 3. Let g be v(-3). Suppose -4*c + 38 = -5*p, 0*p + 3*p + 33 = -c. Let u be (-2)\/p*-2*-5. What is the highest common factor of g and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*a**2 + 10*a**2 + 25*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -649 + 1301\/2. Let t = -26 + 27. Let p = -0.24 + 0.26. Which is the nearest to 1? (a) p (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {x: 3, h: 2, s: 1, d: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**2 - 6*w - 5. Let h be g(-4). Suppose h*x + 30 - 288 = 0. Let z = -43 + x. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the second derivative of 1\/6*q**3 + 0 + 2*q + 0*q**2. Let w(j) = 6. Let g(u) = u - 15. Let d(f) = 6*g(f) + 15*w(f). Determine s(d(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -5004, -4998, -4994, -4992, -4992?\n\"Answer: -n**2 + 9*n - 5012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -90 divided by 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -161\/50 - -33\/10. What is the closest to -1 in 0.3, t, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h - 449 + 104. Let t be 3\/(-5) - h\/15. Let x(a) = a**2 + 1. What is the units digit of x(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 16*q + 151*q - 165*q. Let j(w) = 25*w + 11. What is j(z(u))?\nAnswer: 50*u + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 264887895.\nAnswer: 3, 5, 23, 131, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 112007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7.8*-13.1.\nAnswer: 102.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 4:42 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 - ((114 - (104 + -128)) + (0 - 15) + 2)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u + 7. Let y = 0 + -6. Let v(b) = 4*b - 8*b + 2*b + 6 + 3*b. Give y*d(k) + 7*v(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14\/5 - 47\/15. Let l(y) = y**2 + 5*y - 1. Let o be l(-5). Which is the closest to 6? (a) 4 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*m - 12*m + 5*y = 11*m + 66 - 36, -y = -6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 14\/3 in 4, 5\/4, 0, 3, 2\/139?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 4*k + 8 = -4*w, 0 = 3*w - 4*k + 6. Let n(h) = -18*h + 3*h**2 + 15*h - h**3 - 3*h**2 - 4*h**2. Give n(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 19 (b) 0.2 (c) 1\/251 (d) 9 (e) -11\/32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 65 and 2119?\nAnswer: 10595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -29, -23, -17, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((11 - 20 - -5) + 12 - (8 + 21)) + -9.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15234 - -15275. Solve -17 = -29*q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 307 - 310. Is 894\/v*4\/16*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*t**5 - 4*t**5 + t**5 + (2*t - 3*t + 0*t)*(2 + t**4 - 2).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -n**3*s + 86*n**3 - 3*n + 89*s wrt s?\nAnswer: -n**3 + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 6, s: 4}. Give prob of picking 2 f and 2 s.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5191483 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 32971\/16 + -2059. Let o = 50\/583 - 33765\/19822. Find the common denominator of o and r.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/(-2)*2*7. Is 82792\/12 - 7\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -109 (base 11) to base 8.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -6*l + 48. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 - -1. Suppose 9 + 3 = x*a. Suppose 5*n = -3*t + 58, -4*t - 5*n + 72 = -n. Calculate the smallest common multiple of t and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 5*g. Let j(l) = -4067*l**2. What is i(j(w))?\nAnswer: -20335*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2949228719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -42770.96 - -42771. Let h = -0.67 + 0.7. Which is the third biggest value? (a) 1 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 79 - 75. Suppose 2*c + 276 = g*p - 2*c, 2*p = 5*c + 132. Let q = 78 + p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/199320 and -1\/197964624.\nAnswer: 989823120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 378972*a + 378917*a - 757889*a - 19*a**2.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/296)\/(27\/(-540))*47\/(-470)?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-10)*y*y)\/(y**(-5)*y))**(-3\/5)*(y**(1\/4)*y*y*y*y**(-6))\/(y**(3\/5)*y**(5\/4)\/y) assuming y is positive.\nAnswer: y**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 1. Let c(h) = -2*h + 12. Let q(o) = 2*c(o) - 22*x(o). Let y(a) = -a. Let v be ((-5)\/((-20)\/112))\/2. Suppose v*z = 13*z - 2. Calculate z*y(r) + q(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 8:37 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -70953115716 + 1549?\nAnswer: -70953114167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 2 + 8 = 0. Let r = -1018 - -1019. Which is the closest to -0.2? (a) 1\/10 (b) r (c) p (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 133887 is divided by 125.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - j. Let u(w) = -w**2 + w + 2. Let y be u(j). Suppose 0 = -a - 2, 4*a + 2 = -b + 3*b. Put y, b, 0 in decreasing order.\nAnswer: y, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 90 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/27, 0.1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 + -7. Let d(r) = -2*r**2 + f + 7 - 7. Let c(s) = -5*s**2 + 5*s + 5. Let p(v) = v + 1. Let x(l) = -c(l) + 5*p(l). Give d(x(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3416 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 110083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -0*s + s. Suppose 2*x + 7 = -1. Let w = x - -4. Solve -4*c - 29 = -s*c + 5*m, w = -4*c + 5*m + 41 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -41*s + 43*s - 9. Solve -s*u + 40*j = 42*j - 4, 4*u - 2*j + 18 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*t - 4*t - 12, -2*q = -4*t + 12. Let w = 12 - 7. Which is the nearest to q? (a) 0.01 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 723666.\nAnswer: 2, 3, 29, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 9.414303 meters in nanometers?\nAnswer: 9414303000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 3*k**4 + 7*k**3 - 14*k**2 - 10*k + 22. Let t(p) = -30*p**4 - 72*p**3 + 138*p**2 + 99*p - 219. Let o(d) = -21*c(d) - 2*t(d). Factor o(s).\nAnswer: -3*(s - 2)*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**2 - 39*x + 110. Let r be s(3). Solve 6 = -r*j - 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + 24101251?\nAnswer: 24101244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 6*o**2 - 5*o - 7. Let j(r) = 10*r**2 + r - 6. Let g(q) = 9*q**2 - 6. Let h be 4*(3 + 1)\/4. Let s(v) = h*j(v) - 5*g(v). Give 4*k(u) + 5*s(u).\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 226 divided by 8307\nAnswer: 226\/8307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 69666991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3034\/3 + 1002. Let w = u - -538\/57. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 21 or -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 57 + -65 - (35 + -2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 79872 and 10656?\nAnswer: 8865792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((5 + (sqrt(1088)*2 - sqrt(1088)))*-5)**2.\nAnswer: 2000*sqrt(17) + 27826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14.6 + 173.4. Let v = -188.056 + t. Round v to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 320\/719 - 381979\/48892. Let w = k - -29\/4. What is the biggest value in 0.2, w, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 61077.5kg?\nAnswer: 61077500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n + 2*t - 60838, -t = -66 + 65. What are the prime factors of n?\nAnswer: 2, 67, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z - z - 32. What is the biggest value in 4, z, -1\/8, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 163527167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*g + 1 - 7*g + 4*g + 11*g**3 - 58*g**2 - 21*g**3 to the form f*g**3 + z*g**2 + r*g + y and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 13 + 5. Suppose -w*o - 19 = 57. Let m = 56 + o. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 86 divide 2524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -14*g**2 - 2*g**2 - 13*g**2 + (3*g**2 - 2*g**2 - 3*g**2)*(-4 - 1 + 3).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z\/(z**(-2\/33)*z*z))\/(z**(1\/3)*z) assuming z is positive.\nAnswer: z**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8032361.5737918 + 8032363. Let o = j + 0.1737881. Let w = o + -1.6. What is w rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 19346 + 9485. Let w = d + -14624. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -12607 (base 8) to base 5\nAnswer: -134021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3103866 to the nearest integer?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 - 2*u**2 + (-4*u + 4*u + 2*u)*(-5*u + 3*u + u) + (4 - 4 + 2)*(u**2 + 4*u**2 - 3*u**2) - u + u**2 + u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the first derivative of -i**4 + 4*i**3\/3 + 2*i**2 - 4*i - 3. Factor z(w).\nAnswer: -4*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 2*j - 8 = -0, -2*j = 4*g - 12. Let k be ((-8)\/32)\/((-3)\/36). Suppose 2*p + 2*f - k*f = 20, 0 = -p + 2*f + g. Solve 4*a = a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*d + r + 39920 - 39933, 2*r = -9*d - 2*r - 50 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = p - 5, -2*p = -c + 1 + 14. Let l = -6 - p. Factor -24*h**l - 45*h**3 - h**4 - 8*h + 4*h - 24*h**2.\nAnswer: -h*(h + 1)*(5*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -222.13495 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1732665307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0.04 (c) -8 (d) 1\/21 (e) -389 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2 * 1855\nAnswer: -3710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 63 - 41. Let j = r - 19. Let u(h) = h + j*h + 2 + 4. Calculate u(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*i**4 + 4*i**4 + 3*i + 86*i**2 - 48*i**2 - 49*i**2 in the form r*i + w*i**2 + p*i**4 + g*i**3 + c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1.79? (a) -5 (b) 5 (c) -0.008 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*l - 3*l + 3*l)*(1 + 2 - 6)*(4 - 15*l**3 - 4).\nAnswer: 135*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 10 - (4 - -28 - 15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -22 (base 5) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 729 - 1869 = -6*t. Solve -5 = -185*r + t*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -92*(8 - (19 + (-52)\/13)*3\/6).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -14*p - 10*p + 33*p + 1 - 17*p - 4*p - p**2. What is w(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in j**2 + 1804695*j - 1804695*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2111*y**2 - 78*y**2 - 5)*(4 + y**3 - 4).\nAnswer: -2189*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 176389*f - 1058321. Determine i(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -22433*i + 89751. What is o(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:00 AM and 4:05 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes before 9:14 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -13*r**2 + 2*r + 2. Let d(p) be the first derivative of 7*p**3\/3 - p**2\/2 - p + 2547. Determine -7*d(c) - 4*y(c).\nAnswer: 3*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -57 - -63. Let l(p) = 3*p - 10. Let x be l(4). Solve -j + 4*j - g = x*b, 0 = 4*b - 2*j + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 307, 1230, 2759, 4888, 7611, 10922, 14815, 19284?\n\"Answer: -c**3 + 309*c**2 + 3*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -6*f**2 - f - 6*f**3 + 4*f**2 - f**3 + f**3 + 3*f**2 in the form o*f**2 + c*f + t + b*f**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3468 and 816?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 235232190\nAnswer: 1\/117616095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (923 - 323 - 450 - 368)*(-10*p**3 - 16*p**3 - p**3).\nAnswer: 5886*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 121252 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 565, 2448, 7349, 16708, 31965?\nAnswer: 54560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 583 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (345\/20 - (-89 + 106))\/(-2*(-1)\/2). Find g, given that g + 0 + g**4 - 3\/4*g**3 - g**2 - o*g**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -0.4 (b) 35\/11 (c) -1.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1502749 + -1502525.0222. Let p = -177.7 - 46.3. Let l = p + z. What is l rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (178\/(-180))\/(10\/(-20)) and 53\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -3*j**2 + 108*j + 151. Determine p(40).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from vvvckcuyylcu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -202 * -1437571.\nAnswer: 290389342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, a: 6, q: 3, x: 1, g: 3, z: 1}. What is prob of sequence va?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (5 + 3430\/(-6))*-12. What is t rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -169*a*g**2*w + 2*a*w**2 + 7*a*w + 7*a + 4*g*w**2 wrt g.\nAnswer: -338*a*g*w + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3018862 to the power of 1\/2, to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -45943\/595 + 1250\/17. Let s = 17\/5 + q. What is the second smallest value in -0.3, s, 0.06?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -29\/25731569?\nAnswer: -29\/25731569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 + 10*u + 16. Let l be r(-8). Let g be (l - 0)\/(1*-2). Solve -5*x = 4*w + 6, -2*w = -g*x + 3*x + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/8 and -99\/508.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 378 and 549528.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2873.3 - -2873.299993119. Round j to 7 decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 - (-27 - -85) - -32?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 5, g: 1, h: 1, v: 1, e: 2}. Give prob of picking 1 g, 1 v, and 1 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:37 PM and 3:45 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 37032 divided by -12\nAnswer: -3086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, -1\/545, 8270?\nAnswer: 8270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Put -540, -0.3, -4.1, 0.13 in ascending order.\nAnswer: -540, -4.1, -0.3, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 604 and -0.5.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 16*t**2 - 228*t + 31. Calculate q(14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 463 - 393. What is the highest common factor of 56 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 758 - 538. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -i**2 + 27*i**3 + 98*i**3 - 7*i**2 + 11*i**2 to q + n*i**2 + g*i**3 + v*i and give g.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -159, -52, 2, -3, 0 in decreasing order.\nAnswer: 3, 2, 0, -3, -52, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3506426751 to the nearest integer?\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*i = 46*i - 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:06 AM and 5:34 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z**(3\/7)\/z)*z**(-6)\/z)\/(z**(-4\/7)*z\/((z*((z**0*z)\/z)\/z)\/z)*z))**32 assuming z is positive.\nAnswer: z**(-1760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32037, -31928, -31745, -31488, -31157?\nAnswer: -30752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*y + 275 = 32*y. What is the lowest common multiple of 5 and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 8862 + 5817 = v, -5*v + 4*f = -73179. What are the prime factors of v?\nAnswer: 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y + 3*y - y + 3891028.\nAnswer: 4*y + 3891028","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 8*v + 48. Let q be m(-6). Solve 9*f + 6 + 3 = q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589817549 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 323 - 323 + 103*k**3 + (-2*k + 2*k + 2*k**2)*(-k + 2 - 2).\nAnswer: 101*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**2 - 173*w - 1232. Calculate the remainder when 1644 is divided by m(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**2 - 17*q - 61. Let r(l) = -3*l**2 + 27*l + 62. Give -2*r(d) - 3*t(d).\nAnswer: 3*d**2 - 3*d + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 109*o**2 + 2*o - 135?\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*n + 0*n - 5*n)*(-3 + 2 + 2)*(-9 - 10 + 5).\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/72 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 974832 is divided by 234?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 91*p - 4071 = -86*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 139132957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**3 + 2*u**2 - 5*u - 4. Let v be k(-3). Is 16 + 0 + (v - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 6303772 and 6303767 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 4*h**3 - 40*h**2 + 36*h. Let f(g) = g**3 - 8*g**2 + 7*g. Let n(v) = 16*f(v) - 3*r(v). Find q such that n(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 0.9 = -22264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 43, 45, 57, 85, 135, 213, 325, 477?\n\"Answer: k**3 - k**2 - 2*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17834 + -17829. Solve 0 = 2*n + 5*x - 2, 37*x = -c*n + 32*x - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*u - 52 + 2 = 0. What is the tens digit of (-7721)\/(35\/u) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = 3*u - 30116, 0 = o + 4*u - u - 6016. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 11*a + 9. Let b be r(0). Let q(f) = -f**3 + 10*f**2 - 8*f - 7. Let w be q(b). Let y(l) = w*l + 2*l + l**2 - 5*l + 8. Give y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 + (-3 + 12 - 4 - 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 2*i**2. Suppose 3*z = -z + 44. Let v = z + -8. Suppose 4*d + 5*h - 11 = 0, -v*h = -0*h - 9. Calculate o(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2*3\/15 - 73609314\/465. Round z to the nearest 1000.\nAnswer: -158000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*n**2 + 3041*n - 1022*n + 6*n**2 - 1020*n - 999*n - 7*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = c - 35. Let n be c\/21 + ((-18)\/7 - -2). Put n, -2\/9, 0, -5 in descending order.\nAnswer: n, 0, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(3\/5)*p*p\/(p*p**9*p))**(-3\/32)*((p**(-2))**(-47))**(-1) assuming p is positive.\nAnswer: p**(-7457\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:12 AM and 11:52 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -24.968 + -0.032. Let a = -15.6 + -1.4. Let w = c - a. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -298 (base 12) to base 11.\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -35*b**4*o**3 + 159*b**4*o + 1367*b*o**3 wrt b.\nAnswer: -420*b**2*o**3 + 1908*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i**3\/2 - 183*i**2\/2 = 0. What is i?\nAnswer: -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1997343 and 2369?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k*((k\/(k\/(k*k\/(k*k*k**(1\/4)))))\/k)\/k))\/k)\/k*k*k**(-2\/11)*(k*k\/(k\/k**(1\/4)))\/k*k*k*k**(-1\/5) assuming k is positive.\nAnswer: k**(343\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 984520 and 240?\nAnswer: 5907120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -65 (base 9) to base 13.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 1563068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2 - (6\/(-2) - -7). Let g(o) = 2*o**2 + 2*o - 9. Let n be g(x). Suppose -u = -n - 15. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13095 - 11668. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**2 + 12*t - 130. Determine c(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -51371, -50887, -50403?\n\"Answer: 484*y - 51855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -20*k + 125. Solve k*v = 5, 5*z - 34 = -5*v - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oouofooaouuufgsf. What is prob of picking 2 o and 1 u?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/20*2\/5052. Let h = 47288405175 + -1592673486110861\/33680. Let y = h + d. Calculate the common denominator of y and 11\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - 4. Put 2, m, -0.1 in ascending order.\nAnswer: m, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66 > 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(133) + sqrt(133)*1) + sqrt(133))\/(-2*sqrt(252)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (3 + -4)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes after 12:41 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -624 (base 10) to base 7\nAnswer: -1551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of -34*y**3\/3 - y**2\/2 + 6*y + 10. Let h be a(2). Let r = h - -237. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14927 (base 10) in base 8?\nAnswer: 35117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -72 + 77. Suppose 2*a = 8 + 2. Solve 4*y + 3*p + 4 = -0*y, -p - m = a*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bzbbjjzujjzbxujujjxb. What is prob of picking 1 z, 2 b, and 1 u?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * 0.04528\nAnswer: 0.02264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -15, -31, -45, -57, -67, -75, -81?\n\"Answer: a**2 - 19*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 - 1\/(-2))*4. What is the common denominator of o + 12\/(-5) - 604\/(-160) and 133\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-2\/5))**(-1\/2)*(n*n**1*n*n)**(-1\/3))\/((n\/(n*n*n**1))**(-3))**(1\/19) assuming n is positive.\nAnswer: n**(-413\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2965, -2964, -2963, -2962, -2961?\n\"Answer: z - 2966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 39482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 255 + -38. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 805884390?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4.006 + 0.006. Which is the nearest to -1? (a) u (b) 5 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/7))**(-12\/11)*d**(2\/15)*d*d**11*d assuming d is positive.\nAnswer: d**(14989\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -16 - ((-97 - -33) + 28)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -18\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes before 1:50 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6281012 or 6281013?\nAnswer: 6281012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 292 = -4*z + 46, 0 = z - 3*f + 54. What is the second biggest value in -1\/3, z, 0.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11372 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 84 + a?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 17844 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -592*u**4 + 3*u**2 + 55*u wrt u.\nAnswer: -14208*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -3*p**3 - 267*p**2 - 3297*p - 11025 = 0.\nAnswer: -75, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -263\/44 - -63\/11. Let a = 1.5 + -1. Let l = a + -0.1. Put 4, k, l in descending order.\nAnswer: 4, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 600806 is divided by 300324?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -332400 rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 3*c**3 - 3*c**2 - 8*c + 17. Calculate d(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 11943930279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12, 26, 28, 12, -28, -98?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -14259 - 120740 = 1268*k + 4481 for k.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 33007580 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1202201021 (base 3) to base 4\nAnswer: 20133133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (0 - 0 - -3) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**2. Let c(o) = o**2 + o - 8. Let z be c(-6). Let l(d) = 85*d - z*d - 20*d. Calculate x(l(w)).\nAnswer: -1849*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -50388 = 1240*k + 52*k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 22\/(-9)*(-30)\/16 and 1104\/(-160) + (-126)\/56*8\/(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2754342 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -11*f + 60.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 46463302 to the power of 1\/2, to the nearest integer?\nAnswer: 6816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 24462, 24451, 24432, 24405, 24370, 24327?\nAnswer: 24276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1 and -8.684919.\nAnswer: -0.8684919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (8 + (7 - (3 + -2)) + (-91 - -36))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11713 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z + 1. Let g be 0 + (-1 + -1 - -6). Let f be t(g). Let o = f - -7. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -97*p = -188*p - 91. Let t be (3\/(-2))\/((-3)\/4). Put 0, t, 5, p in increasing order.\nAnswer: p, 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-50)\/(-4))\/5)\/((-16835)\/282828).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -80 - -3?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -686*h**2 - 993*h**2 - 172*h**2 + 2*h - 747*h**2.\nAnswer: -2598*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(37\/(-74)*(-12)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 - -42. Let s be ((-520)\/(-16))\/((-1)\/(-2)). Let l = 92 - s. What is the lowest common multiple of q and l?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -128*s**2 - 96*s - 96. Let o(f) = 167 - 168 + 3*f - f**2 - 4*f. Let v(h) = 96*o(h) - w(h). Let r(p) = p**2. What is r(v(a))?\nAnswer: 1024*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**2 + 4*m + 8. Let s be l(5). Solve -s*z = -i + 18 - 0, 3*z - 3*i + 24 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**2 + 10*v - 10. Let w be f(9). Suppose 3*u + 2*u = 5. Put w, u, -5 in increasing order.\nAnswer: -5, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.17 - -206928\nAnswer: 206926.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**3 + 3*m**2 - 12*m - 8. Let g be f(-5). Suppose -3*d - g*r + 3*r = -117, -3*d + 5*r = -105. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of -j**5\/3 - 19*j**4\/24 + 27*j**2. Find the second derivative of t(y) wrt y.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -3*c - 10, -4*c - 1 = k + 3. Let r = 0.033 - -0.047. Is c != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 775 divided by 60204?\nAnswer: 775\/60204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 44\/4 - (-1 + 20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10643 + 33*m**2 + 20*m**2 + 10643.\nAnswer: 53*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q - 4*q + 3*q)*(-3*q**3 - q + q) + (-2 + 2 + 8)*(-2*q**4 + 4*q**4 - 4*q**4 + (0*q + 0*q + q**4)*(1 + 0 - 2) - 2*q**3 - 2*q**4 + 2*q**3).\nAnswer: -46*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 315 is divided by 107.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 241 a factor of 4619846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 3, 17, 1\/4 in increasing order.\nAnswer: -2, 1\/4, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 5*g = -24, -5*b - 4*g + 16 = -3*b. Suppose -22*v + 24*v + b = 0, -5*r + 14 = -v. Factor p**4 + r*p**2 + 0 + 2\/3*p + 1\/6*p**5 + 13\/6*p**3.\nAnswer: p*(p + 1)**2*(p + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -x - 3*x + s, 9 = -2*x - 3*s. Let q = -3 - 17. Let a be (4\/(64\/(-12)))\/(5\/q). Solve -3*m - a = -x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1928, 4, -0.2, -1, 9, -1\/3.\nAnswer: -1, -1\/3, -0.2, 4, 9, 1928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1213139827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 3*sqrt(18) + -5)*6.\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 67141*y**3 + 74845*y**3 + 118100*y**3 + 120883*y**3.\nAnswer: 380969*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**3 + 2*h**2. Let g be c(2). Let n(m) be the second derivative of m**4\/12 - m**3\/6 - m**2\/2 - 6*m. Calculate n(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -i**2 - 1 + 20*i**2 + 1 - 20*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 1669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(2\/(-10)*(12 - 11)). Let w = -928 + 926. Which is the fourth biggest value? (a) 1\/10 (b) -3 (c) w (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71.23667 weeks in microseconds?\nAnswer: 43083938016000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/1)\/(-6)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 2.151322 days?\nAnswer: 185874220.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the third derivative of -m**6\/120 + 11*m**5\/60 + 11*m**4\/24 + 11*m**3\/6 - 5*m**2. Let f(q) = q**2 + q + 1. Calculate 22*f(k) - 2*g(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -378232*x + 378233*x = -2*u + 33, 3*x - 2*x - 169 = -10*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.070718 times 1.508?\nAnswer: 0.106642744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 37*d. Let l = -306 - -319. Let b(i) = i**2 - l*i**2 + 5*i**2 + 8*i**2. Determine b(o(s)).\nAnswer: 1369*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 28574 and -14.03?\nAnswer: -400893.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 23233 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 29939, 29982, 30021, 30056, 30087, 30114?\nAnswer: 30137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 - (-11 + 20) - 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-5\/8)*w**(-13)*(((w\/((w*w**31*w*w*w*w)\/w))\/w)\/w)\/(w*w\/(w**(-3)*w)))**(-1\/2) assuming w is positive.\nAnswer: w**(429\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3648, 3653, 3658?\n\"Answer: 5*q + 3643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**2 - 2*t**2 + t**2 + (3 - 1 - 1)*(-2*t**2 + 5*t**2 + 0*t**2) + 0 + 0 + t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes after 5:42 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 1226.8.\nAnswer: -1226.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 203*o**3*t - 21268*o**3 - 4*o**2*t - o**2 + o*t - 4*o + 72496*t - 16 wrt o.\nAnswer: 1218*o*t - 127608*o - 8*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 40 + -45. Let u be (-27)\/d - ((-24)\/(-10) + -2). Solve -16 = -3*z + u*x, -14 = -3*z + 4*x - 0*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 282758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 650348837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -59508 - -13627287\/229. Is -1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 6 + -57a?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**2 - 21 - 4*r + 15*r + 6*r. Let h be -49 + 60 + (-3)\/(-1). Calculate the remainder when 104 is divided by v(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of (-3 + 14)*36\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 3*t + 5. Let m be (372\/60)\/(1\/t). What is the highest common divisor of 93 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 2*h + 20 = -3*c, -16 = 4*c. Let x be 55199988\/(-24) - (-1)\/h. What is x rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -18650.4 - -18650. What is the closest to -1 in -36, s, -3, 1.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the second derivative of z**4\/12 + 7*z**3\/6 - 7*z. Find the second derivative of q(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5, 65, 181, 367, 647?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -93*v**3 + 3*v**2 + 10*v + 7. Suppose -4*x + 35 - 43 = 0. Is p(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c - y + 27499, 3*y + y = -5*c + 27496. What are the prime factors of c?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*j + 35*j = -34*j + 46121. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000014647 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 21*u**3 - 470*u**2 + 206*u - 659. Determine p(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*f - 9*f - 8769 = -67*f - 15869 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 928000701.\nAnswer: 3, 617, 167117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2223*c + 1451*c = 202070 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 5985307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1476 and 3525.\nAnswer: 1734300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 4, m: 6}. What is prob of sequence mm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 495479, 495483, 495489, 495497, 495507, 495519, 495533?\nAnswer: 495549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 + 1110*b**2 + 4464*b + 44235. Determine l(-1106).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 - -4) + -2 + 5. Let l = d - 6. Let i(f) = -95001*f**2 + 3*f - 2. Let k be i(l). What is k rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.5836 and -20.9252654.\nAnswer: -21.5088654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -6.6, 1\/6, 1619\/4, 3 in increasing order.\nAnswer: -6.6, 1\/6, 3, 1619\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -187 - 6 = -3*p - 4*n, 0 = -5*n + 20. Let y = p + -14. Let w = y + -91\/2. Does w = -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1239831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 141345*b**4 + 3551*b**2 - 12*b - 14 wrt b?\nAnswer: 3392280*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2726*s**3 + 5168*s wrt s.\nAnswer: -16356*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is c2 + 386?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -325449593 and 0.4?\nAnswer: 325449593.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t - 2*d + 1 = 13, -d - 15 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t + 1. Let n be b(-3). Let z = 35 + -31. Do n and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -318*m + 126 = -316*m. What is the remainder when m is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 1 = -2*n, 5*m - n - 37 = 3*n. Suppose f = 6, -5*i - f + 6*f - 45 = 0. What is the third smallest value in -0.05, m, i, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2347?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 5*h + 173, -f + 76 = -h + 2*h. Calculate the remainder when f is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 364, -3 in increasing order.\nAnswer: -3, 0, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000012604984 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8 or 67\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -587767*u*w**4 + 2*u*w**3 + 23*u*w**2 + 23876*u - w**4 wrt w.\nAnswer: -14106408*u*w + 12*u - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -3521.427 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - 17 - (-135 + 129).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -228, 4, -1 in ascending order.\nAnswer: -228, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -136*l**3 + 2*l**2 - 5*l + 5. Let s(z) = -272*z**3 + 4*z**2 - 9*z + 9. Let w(u) = 5*g(u) - 3*s(u). Is 18 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -m**4*o**2 + 38*m**3*o**2 - 52*m*o - 3*o**2 wrt m.\nAnswer: -12*m**2*o**2 + 228*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -173101102.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -12567*l**6 - l**5 - 2*l**2 + 9197*l wrt l.\nAnswer: -1508040*l**3 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 227807381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + y = 0, 5*y - 6 = -k + 24. Suppose -12 = -k*m + m. Let q(u) = u**2. Let t(h) = -h**2. Let r(x) = m*t(x) - q(x). Calculate r(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/2, 19, 4\/5, 3, 377, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 40 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-2)*n*n\/(n**(-1\/3)\/n))\/(n**(-2\/7))**39*(n**1*n*n)**38\/(n**(-1\/3))**(3\/44) assuming n is positive.\nAnswer: n**(117809\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7177.\nAnswer: 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 PM and 6:27 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of p**4\/12 - 8*p**3\/3 + 31*p**2\/2 - 298*p. Determine m(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x**4 + x**4 - 2*x**4)*((-22*x + 36*x + 20*x)*(-6 + 1 + 3) + (-2 - 2 + 5)*(-1 + 1 - 2*x)).\nAnswer: 70*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x - 7. Let f be l(-10). Suppose 12 = 3*v, v + 475 = 4*n - f*n. Suppose k = -g + 66 + 54, -4*k = 3*g - n. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1000756 is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.2 in 3, 0.02, 0.03, -0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vovvvvvvooooo. What is prob of picking 4 o?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -165*d + 175. Let m(a) = -4 + 598*a - 613*a + 20. Let y(o) = -45*m(o) + 4*x(o). What is the derivative of y(g) wrt g?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 215 by 2200212.\nAnswer: 215\/2200212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 822\/348 + 10 + -7 + -6 and 44\/(-48) + ((-4)\/6 - -1).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 211590, 423173, 634756, 846339, 1057922?\n\"Answer: 211583*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, -1, -6895?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2711, -5399, -8089, -10781, -13475, -16171?\nAnswer: -18869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1.915 (b) 1 (c) -137 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the third derivative of s**5\/30 + s**4\/6 - s**3\/2 + 1226*s**2. Let o(h) = -2*h**2 - 4*h + 2. Give 3*a(f) + 4*o(f).\nAnswer: -2*f**2 - 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*a - 2 - 20 - 23 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*a**4 - 27*a**3 + 92*a**2 - a?\nAnswer: 48*a - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 11\/98 and -5\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.7 - -1400.938.\nAnswer: 1402.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(224))\/(sqrt(8) - -4*sqrt(8)*5 - sqrt(8)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-2) - (-567)\/(-462)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -4a7 (base 14) to base 2\nAnswer: -1110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and 61518?\nAnswer: 18455.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be 45\/(-5)*(0 + -1). Suppose 2*k = c*k - 119. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -30, -216, -4, 5, 2, -3, 25 in decreasing order.\nAnswer: 25, 5, 2, -3, -4, -30, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u. Let m(t) = 180*t + 1. What is m(z(q))?\nAnswer: 180*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2757 rounded to 3 decimal places?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((0\/2)\/(-2))\/((-86)\/(-43))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 5 = -5*u - 30, -2*u - 2 = 0. Let h = l - 4. Suppose -3*o = -5*o. Sort o, 3, h.\nAnswer: o, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -3*h**3 + 7*h + 2*h**3 - 4*h**2 - 2 + 0*h**3 + 0*h**3. What are the prime factors of x(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41799108.\nAnswer: 2, 3, 13, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 95 + 162 - 15068*q + 4*q**2 + 32 + 15074*q.\nAnswer: 4*q**2 + 6*q + 289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 - 4*s - 9. Suppose 5*a - 5 = 0, 0*z - 5*a = -2*z + 7. Give i(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*c**2\/8 + 2571*c\/8 + 60885\/4 = 0. Calculate c.\nAnswer: -45, 902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -33 + 50 + (-1092)\/64\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/247382444 and -27\/407?\nAnswer: 2721206884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0\/(-4) - 1*-3. Suppose 5*s - b = 7. Differentiate 0*c**4 - s - 6*c**4 + 0 - 3 with respect to c.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.031 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -5 and -56\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -s**2 - 2*s + 97 with respect to s.\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1 (b) 34 (c) -4\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 218 (b) -0.2 (c) -0.4 (d) 2\/75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 81888.63 nanometers?\nAnswer: 0.00008188863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 8338911.4 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((((sqrt(833) - (1 + sqrt(833))) + sqrt(833))*-5 - sqrt(833)*2*1) + (0 + sqrt(833) + 2)*4)*-1)**2.\nAnswer: -2184*sqrt(17) + 30664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -2*i**3 - 12*i**2 - 3*i - 15. What is m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -419906.0051 to the nearest ten.\nAnswer: -419910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1147136?\nAnswer: 2, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(57)\/sqrt(3) + sqrt(171)*1)*-4.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - 0. Let m(r) = -r**3 - 2*r**2 + 3*r + 4. Let z be m(-3). Solve 3*s - z*s - j*n - 3 = 0, 0 = 5*n + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 32 and 3591472.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 7220*p**3 - 297540*p**2 + 3874845*p - 16240900 = 0.\nAnswer: 403\/38, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence geg when three letters picked without replacement from {e: 4, g: 2, v: 3, l: 2, w: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 187841.39874342 + -187584.39874. Let s = 257 - c. What is s rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(1*3\/(((-84)\/136)\/7)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**2 - 3*q - 26. Let w(c) = 4*c**2 - 2*c - 27. Give -2*p(a) + 3*w(a).\nAnswer: 10*a**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 15964727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -51\/1714?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-7)\/28 - 210\/(-8). Solve -4*m - o = -6*m - 4*z, 15 = 3*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -198686 less than or equal to -198680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.4 and -4773.\nAnswer: -4773.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (((-20)\/(-12))\/(-5))\/(-1)*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b*b\/b**(2\/21))*b*b**(5\/7))**(-7\/2)*((b\/(b**(6\/11)*b))\/((b**(-1\/6)*b)\/b))\/(b*b**(4\/3)*b**7*b*b) assuming b is positive.\nAnswer: b**(-160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) 3 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*l + 24 = -63*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -2 - -13 - (2 + 10 + -19)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 4*s = 5*g - 90, 0 = -2*g + 4*s + 38. Let k = -20 + g. Is -2 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*k + k + k)*(18 - 15 + 17).\nAnswer: 260*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(396)*1 + (3*-2*sqrt(396))**2 + sqrt(396).\nAnswer: 18*sqrt(11) + 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 198955, 197883, 196097, 193597, 190383, 186455, 181813?\nAnswer: 176457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 82*g**3 + 95*g**3 - 265*g**3 + 87*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**3 - 8*x**2 + 13*x - 1. Let d be j(6). Suppose -2*p + 11 = -d. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:32 AM and 7:24 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 900519253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-1\/4)*a**(-5))**7\/((a**(2\/9))**(-7\/4)\/(((a**(-1\/4)*a)\/a)\/(a*a**(1\/6)))) assuming a is positive.\nAnswer: a**(-277\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 4*q - 16, 4*r + q + q = -22. Calculate the remainder when -93*(r + 1 - -3) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -1, 0.1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**2. Let a(d) = -4*d**2 - 5*d. Let g(o) = -o + o**2 - 6*o**2 + 2*o**2 + 2*o**2. Let q(s) = -3*a(s) + 15*g(s). Give u(q(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 3*v**2 + 2724*v + 8146. Give w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**3 - 15*c**2 - 14*c + 3. Let r be a(-14). Suppose 0 = r*n + 345 - 1635. Suppose -461 - n = -5*h + v, h + 4*v - 195 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 12*f**2 + 880*f - 37. Is s(60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7805.82l to millilitres.\nAnswer: 7805820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in eleven tenths of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 - -9314.\nAnswer: 9313.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -2*i**2. Let d(s) = 27*s**2 - 54*s**2 - 71*s**2 + 5*s**2. Calculate d(l(j)).\nAnswer: -372*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5*r + 0*r + 3*r)*(3 - 1 - 4) - 1 + 1 + 2*r + 3*r + 2*r - 3*r)*(30*r**2 + 774*r - 774*r).\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2 + 94\/56)*582\/(-36). Let t = r + -45\/8. Which is the closest to -1? (a) t (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*r + 10*r + 3*r - 7*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*m**5*w + 2*m**3 - 15*m**2*w + 2*m*w + 112*m - w wrt m?\nAnswer: -60*m**3*w + 12*m - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oaaooaa. Give prob of picking 2 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15 - -13)*((-1)\/(-11))\/((-634)\/(-17435))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, b: 1, m: 2, o: 4, e: 1}. Give prob of picking 1 m and 1 o.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 7*p**2 + 9*p + 2. Let h be n(-5). Suppose 0 = 2*w - 4*v - h, -375 = -4*w - 4*v - 99. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 50 = -130. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 2\/3, -4, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -85 + 30. Let x = -53 - d. Suppose a = -x*c + 69, -a - 63 = -2*a - 5*c. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -284*s = -4720 + 1312. Suppose m + 15 = -5*q, 3*q = -3*m + 2*m - 9. Let j = 4 - m. Calculate the lowest common multiple of s and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -6*k**4 + 26*k**3 - 56*k**2 - 84*k + 286. Let y(x) = 2*x**4 - x**3 - x**2 + 1. Let l(p) = c(p) + 2*y(p). Let l(f) = 0. What is f?\nAnswer: -2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2261 = -269*p - 1169 + 1598 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gpcpcpnpkpccpggp. What is prob of sequence kncg?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-112)\/18 - 6\/(-27). Let y = p - -7. Let w = 0.004 - 0.104. Which is the closest to w? (a) -5\/4 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(3\/17)\/(q*q\/q**(2\/11)) assuming q is positive.\nAnswer: q**(-307\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 415823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4449296 is divided by 120251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 15 = -5*g, -5*g = -4*o + 6 - 22. Sort g, -4, 0, 7 in ascending order.\nAnswer: -4, 0, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 166 = -4*s - 2*v, 0*s + s + 2*v + 49 = 0. Let l be (-1)\/3 - s\/9. Find the second derivative of 0*i**l - 4*i + 2*i**4 + i**4 wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 44, 93, 136, 173, 204?\n\"Answer: -3*t**2 + 58*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2534544 and 12.\nAnswer: 2534544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes after 10:10 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -496400 by -85.\nAnswer: 5840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 312274555*j**6 - 2*j**2 - 84702*j - 4?\nAnswer: 37472946600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-36)\/(-27))\/(4\/9). Suppose 17 - 35 = -s*i. Let m be (3 + 5)*i\/4. What is the greatest common factor of m and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 12) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 766*r + 177*r + 425*r.\nAnswer: 1368*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*r + 2*i - 4 - 2, 2*i - 6 = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add -3 and -485.5594.\nAnswer: -488.5594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 27 - 14. Suppose 0 = 3*q - p + 30, 0 = -0*p - 4*p + 12. Let i = f + q. Solve 3*a - 6 = i*d - 21, -5*d = -4*a - 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 573433688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59352253.\nAnswer: 17, 181, 19289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (63\/(-420)*(-2)\/(-6))\/((-68)\/290) and 26\/629?\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, 15, 22, 15, -12, -65, -150, -273?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7727.583 millennia in years?\nAnswer: 7727583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes before 3:50 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**2 - u + 3. Let w be -2 - 1*4\/(-2). Let z be g(w). Suppose 5*s = 3*n + 291, 0*s = -5*s - z*n + 279. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 2*d + 5*d = -52, -x + 4*d + 7 = 0. Let q = x - -13. Differentiate q*y**2 + 5*y + 9 + y - 6*y with respect to y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 113\/(-461 + 235) + (-14)\/12\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*y - 116 - 10. Is -24 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3664 is divided by 193.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/29, 4, 1, 54, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:02 PM and 5:02 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2304)\/(-702))\/16*6\/(-8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 32096447, 64192892, 96289337, 128385782, 160482227, 192578672?\n\"Answer: 32096445*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -2556022 (base 7) to base 9.\nAnswer: -557317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1147*b**3 - 1147*b**3 + 6*b**2 - 47*b**4)*(-3*b + 3*b - 4*b).\nAnswer: 188*b**5 - 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-105)\/(-49))\/(((-45675)\/490)\/(-9))\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*c + 5. Suppose p = 5*s - 30, -4*p + 5 = -2*s - 7*p. Solve -s*i - 27 = c*a, 6 = -0*i - 2*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*p = -21201*s + 21200*s - 58, 3*p = -s + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 617 = 30*p - 2353. What is the greatest common divisor of p and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 161968 and 32?\nAnswer: 323936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 0 - 2. Let l(f) = 2*f**3 + f**2 + 4*f - 3. Is l(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*g**3 - 2*g + 3*g + 88 - 63 to the form v + f*g**2 + u*g**3 + l*g and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100000001 - 111000001011010000101?\nAnswer: -111000001011110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*s**4 - 6*s - 32*s**4 + 0*s + 4*s wrt s?\nAnswer: -312*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6\/33 + 6\/(-11)*47452\/(-6).\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 2 - 1 = 0. Suppose -5*v + 3*n + 246 = 0, -2*v - 2*v + 195 = -u*n. What are the prime factors of v?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*c - 8*c - 2*c)*(9*c - 8*c - 39*c)*(-c - c + c + 2*c + 3*c - 4*c + (1 + 1 + 0)*(-c - c + 3*c) + 2*c + c - c) as u*c**3 + h + j*c + v*c**2 and give u.\nAnswer: 1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2786665879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-32)\/108 + 38*(-23)\/(-2622).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 111 - 104. Calculate the highest common factor of t and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v - 9. Let p be t(-7). Let g be ((-304)\/1)\/p - -1. Calculate the highest common divisor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the second derivative of -t**6\/24 - t**4\/24 - t**3\/6 + 11*t**2 + 3*t. Let j(c) be the first derivative of h(c). Give j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*q - 4*n = -3*q - 5, -2*q - 4*n + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4 less than or equal to -2689598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-32)\/12*(-9)\/396)\/((-7)\/(-77))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + -1 + 8 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -146575*p**2*x**3 - 151046122*p**2*x + 9*p*x**3 + 12*x**3 wrt x?\nAnswer: -879450*p**2*x + 54*p*x + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -24861 - -47735. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6940152ns in microseconds?\nAnswer: 0.0006940152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 540277.918 - 540277.681434181. Let w = l + 25.763436081. Let f = -26 + w. Round f to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 6.735675 and 5.\nAnswer: 11.735675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 66\/12 + -6 + (-5246)\/(-244)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4 - 226\/12*45\/210. Let m = 2 - 2. Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - -126030?\nAnswer: 126030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g - 0*t - 3*t - 33, 0 = 3*g - 5*t + 85. Let w = g - -73. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -11*z**4 + 29*z**3 + 126*z**2 + 76*z - 4. Let s(g) = 9*g**4 - 28*g**3 - 126*g**2 - 75*g + 3. Let p(u) = 3*f(u) + 4*s(u). Factor p(k).\nAnswer: k*(k - 12)*(k + 3)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 + 8.6. Let w = 5154 - 5151. Put 2, k, w in decreasing order.\nAnswer: w, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*f - 2*t - 4, 2*f - 2 = -2*t + 14. Solve -f*m = -6*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 3*d + 4. Let c(n) = 180*n + 5045. Let p be c(-28). Solve 4*k = p*g - 31, 3 = -k - d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(-13\/4))**(-11)*u**(-18)*u*u\/u**(6\/5) assuming u is positive.\nAnswer: u**(151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 149 a factor of 42282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(2\/3)\/p*p)**14)**(19\/3)*p\/(((p**(-3\/4)*p)\/p)\/p)*p**(-1)*p*p**(-5\/4)*p**(-5\/3) assuming p is positive.\nAnswer: p**(1061\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m. Let q be h(-1). Let s = 1 + q. Which is greater: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, q: 3, x: 10, u: 4}. Give prob of sequence qfu.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15 - -50 - 16) + (-4 - -14 - 2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-2)\/(i\/(i**7\/i))*(i\/((i\/((i\/(i**(-2\/17)\/i))\/i))\/i)*i)\/(i*i*i**(3\/8)) assuming i is positive.\nAnswer: i**(509\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 40 - 13173904728\nAnswer: -13173904688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18 + 16. Let p(f) = f**3 + 2*f**2 - f - 2. Let r be p(z). Factor 2\/5*y**3 - 2\/5*y**2 - 2\/5*y**5 + 0 + r*y + 2\/5*y**4.\nAnswer: -2*y**2*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*b = -11*b + 270 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.8 + -1.9. Let d = h + 0.1. Let r(q) = q**2. Let g be r(0). Which is the biggest value? (a) d (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 659*y + 4280 - 20408 = 23412 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**5\/7 + 22*u**4\/7 - 10*u**3 + 50*u**2\/7.\nAnswer: -2*u**2*(u - 5)**2*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 256888 and 24124?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3051928, 3051907, 3051886, 3051865, 3051844?\nAnswer: 3051823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5498688 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-18 - -14)\/(-4 + 0). Suppose 4*h + 4 = -2*b - 12, 24 = 2*b - 4*h. Suppose 4*x - i = -25, 3 + 2 = b*x + 3*i. Sort -2, x, j.\nAnswer: x, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4663556693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 13\/((-1690)\/1030) + (84\/(-18))\/((-4)\/6)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -190, -192, -196, -202, -210, -220?\n\"Answer: -n**2 + n - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -317204.869 - -317416. Let y = -211 + z. Let j = y - -0.369. Which is the second biggest value? (a) -3 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -156?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 174 + 35975.\nAnswer: 36149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is s in 2*s**3\/9 - 10*s**2 + 352*s\/3 - 968\/9 = 0?\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 4 + 39274\nAnswer: 39278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 70 and 805.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -208335 divided by -4085\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 41 - 41. Which is greater: 0.01 or p?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2323 and 377650\/1494 - ((-7)\/(-9) + -1).\nAnswer: 25553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -9, -29, -57, -93?\n\"Answer: -4*l**2 - 8*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uppuugupguuuuuppuuu. Give prob of sequence ggp.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.8576691 - 897.\nAnswer: -898.8576691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 143701*w**5 + 2*w**4 - 4*w**3 + 469319*w**2 - 2*w wrt w.\nAnswer: 8622060*w**2 + 48*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/31? (a) 1\/2 (b) 4 (c) 8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + 10 - (2 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -21 + 21.043. Let j = -97.4 - -97.743. Let y = j - p. Put 2\/5, 0, -2, y in descending order.\nAnswer: 2\/5, y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**2. Let k(h) = -48*h + 2. Give k(c(i)).\nAnswer: -48*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -4*m + 15. Let k(w) be the second derivative of 0 + 0*w**2 - 1\/6*w**3 + 0*w**4 + 1\/20*w**5 - m*w. Find q such that k(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -36*i**3 + 4*i**2 - 21*i - 13. Is c(-5) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 675*w**2 + 1741 - 2*w**3 + 909 - 676*w**2 + w to the form u*w**3 + q + l*w + r*w**2 and give q.\nAnswer: 2650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j**2 + j**2 + 3*j**2)*(116*j - 108*j + j**2 + 9*j**2).\nAnswer: 10*j**4 + 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 187035159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the third derivative of -11*d**4\/24 - 11396*d**2. Let p(b) = 364*b. Give f(p(x)).\nAnswer: -4004*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 4, h: 10, z: 2}. Give prob of picking 3 h and 1 w.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -j**4 - 171*j**3 - 94*j + 6794559 wrt j.\nAnswer: -4*j**3 - 513*j**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -3385656, -3385658, -3385660?\n\"Answer: -2*m - 3385654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 6*m**2 - 2*m**4 + 4*m + 13 - 13 + 6*m**3 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -46409.783*-0.2\nAnswer: 9281.9566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 192827*x**3 - 3*x**2 + 4*x + 120588115.\nAnswer: 578481*x**2 - 6*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q - 16636*q**2 + 16635*q**2 - 5*q + 4*q. Let p(f) = -4*f**2 + f. What is p(m) - 5*y(m)?\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -221912 (base 14) to base 4.\nAnswer: -10122132030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.5 and -11.72039352.\nAnswer: -12.22039352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:07 AM and 5:14 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(-1\/5)*v*v)**17\/((v\/((v\/v**(2\/3))\/v)*v)\/v)**(-25) assuming v is positive.\nAnswer: v**(1441\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*u - 66 + 24. Calculate the remainder when 84 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -20 + 25. Find the third derivative of -6*q**5 + 2*q**2 - 2*q**5 + 0*q**s wrt q.\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -46 - 0 - (1 + -8 + 37 + 22 + -45)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 2287 + 2*x**3 - 2286 + 9*x**2 - 6*x**3 - 5*x as d*x**3 + g*x**2 + o + n*x and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.289 * -55.\nAnswer: 15.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4421 - 4419. Which is the third biggest value? (a) -2 (b) q (c) -0.4 (d) 3\/10 (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10 + (-56)\/(-10))*3\/6.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 3*z = -1340 + 1348, -21 = -5*u - 4*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -c0bc + 7ae?\nAnswer: -b80d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 41 + 3*o + 3 - 8*o**2 - o wrt o?\nAnswer: -16*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 172280987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*m - p - 103 + 89, -3*m + 2*p = -19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s - 112 + 76. Let t = 61 + s. Let u(w) = w**3 + 6*w**2 - 4*w - 4. Let h be u(-6). Calculate the greatest common divisor of t and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 9\/5, 1\/2, 2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2291*g**2*m**3 - 3*m**3 - 18*m**2 - 159*m with respect to g.\nAnswer: -4582*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 69, 285, 647, 1155, 1809, 2609?\n\"Answer: 73*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + 2 - (-3 + (-1 - (9 + -5)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rxe when three letters picked without replacement from {h: 4, r: 1, x: 2, e: 2, b: 1, f: 4}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 6 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 549210 and 18.\nAnswer: 1647630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 953a (base 13) in base 4?\nAnswer: 11002323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -11201*n - 368*n - 11012*n + 5429*n in the form s*n + x and give s.\nAnswer: -17152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 23.03 - 23. What is the nearest to 1 in -2, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 16, 74, 172, 310, 488, 706?\n\"Answer: 20*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*h**5 + 50*h**4 - 8*h**3 - 2*h**2 = 0. What is h?\nAnswer: -1, -1\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*d**2 + d**2 - 2*d**2)*(-2*d**2 + d**2 + 2*d**2) + (1137 - 57*d - 1137)*(-3 + 0 + 2)*(-3*d + 3*d + d**3)*(-46 + 4 - 22).\nAnswer: -3646*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 0.8518498 milligrams?\nAnswer: 0.0000000008518498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 418326, 836636, 1254942, 1673244, 2091542, 2509836, 2928126?\n\"Answer: -2*o**2 + 418316*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and 3.854?\nAnswer: -11.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 57 = 3*r, 2*r - 33 = -0*r + 3*c. Solve 3*o = -3, 6*b - r = b - 4*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 3 = -4*g. Suppose c + g = -c. Let j(m) = 24*m**2 + 3*m + 3. Is 4 a factor of j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/2*(-5)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(-3 + sqrt(891) + 5) + ((sqrt(99) + 0)*-1 - (1*sqrt(99) + -1)))**2.\nAnswer: 1320*sqrt(11) + 39721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2 + 13*o - 8. Let f be w(11). Suppose -29*p = 3*d - 13022, 9*d - 4*d = 50. What is the greatest common divisor of p and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/9 and -19\/9666?\nAnswer: 9666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 175967.\nAnswer: 11, 17, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1820, 3641, 5462, 7283, 9104, 10925?\n\"Answer: 1821*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 23 = -4*m, -m + 4*z - 5*z = 3. Let p(h) = 2*h**m - h**3 + 7*h**3 - 2*h**2 + 1. Let w(k) = 17*k**3 + 3. Calculate 11*p(c) - 4*w(c).\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 2153, -5, 1, 206 in descending order.\nAnswer: 2153, 206, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 18 = 4*j + 2, 0 = 2*x + j - 7. Let h(q) = -2*q**2 + 615*q - 14893. Let p be h(281). Solve p = x*b + 11 - 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2610 times -3?\nAnswer: -7830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -471*q + 2537. Let x be n(6). Are x and -288 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 38718020911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 12:30 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the second derivative of v**3\/6 - 2*v**2 + v. Let o be j(6). Let t = -8 - -5. Sort 1, t, o.\nAnswer: t, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -63, -73, 111, 489, 1061, 1827, 2787?\n\"Answer: 97*x**2 - 301*x + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 51688 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*f + 22*f = 135. Which is the third biggest value? (a) 10 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**2\/13 + 66504302*b\/13 - 66504304\/13.\nAnswer: 2*(b - 1)*(b + 33252152)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -6 + 8\/2 - -39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(448))**2*6 - (sqrt(7) + 3*sqrt(28))*2) + -3.\nAnswer: 82*sqrt(7) + 2691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 194300?\nAnswer: 2, 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 267478944.\nAnswer: 2, 3, 131, 21269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 31657 * 5.\nAnswer: 158285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11350*u**2 - 15*u**3 - 11350*u**2.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y - 1. Let o be m(-4). Suppose c = -4*c. Solve 0 = -r + 4*z - o, -4*r + c*r = z - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of 593*n**2\/2 - 201*n - 328. What is the first derivative of j(f) wrt f?\nAnswer: 593","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 181*s - 330*s - 15*s**2 + 179*s.\nAnswer: -15*s**2 + 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 501 + -499. Solve m + 8 = 2*j + 4*m, -2*m = 5*j + n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1161852 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 52 = 5*d - 365*l + 369*l, d - 68 = -4*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 205.3 + -196. Let p = -10 - -1. Let y = a + p. What is the nearest to 0 in y, 5, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1577 + -37843\/24. Let h(k) be the third derivative of t*k**4 + 6*k**2 + 0 + 0*k + 1\/6*k**3. What is the derivative of h(m) wrt m?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**2. Let n(d) be the first derivative of 261*d**2\/2 - 287. Calculate y(n(s)).\nAnswer: 68121*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1168 at most as big as -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 69*h + 4*h**2 + 72*h - 2*h**4 - 142*h - 8*h**4 to q*h**4 + z*h**3 + s*h**2 + p + m*h and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 20 + 321?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 328 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -122486 - 13?\nAnswer: -122499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - u - 32 = -2*f, 0 = -3*f - u - 48. Is (f\/24)\/2*(-519 - 0) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*m**4 - 2*m**4 - m**4 - 3*m**2 - m**4 + 3*m**2 + (-2*m**2 + 4*m**2 - 3*m**2)*(-3 + 3 - 2*m**2) - m**4 + 6*m**4 - 4*m**4 - 6468 + 151*m**4 + 6468.\nAnswer: 155*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1 + (-3 - 2) + 7 - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add -0.12262 and -3.057606.\nAnswer: -3.180226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/40 and 19\/25668.\nAnswer: 256680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 203720 + -1?\nAnswer: 203717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (2 - (23 - (34 - 11 - 73))) + -11\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.6, 0.08, -0.02, 1.24, 0?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0, 33, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/33)\/((-16)\/96).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7646?\nAnswer: 2, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y - 115 = -12*y. Suppose -7 = 2*n - y. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 103550 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 704, 1546, 2508, 3650, 5032, 6714, 8756?\n\"Answer: 10*y**3 + 772*y - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**3\/5 - 20237242*i**2\/5 - 40474454*i - 101186110.\nAnswer: -2*(i + 5)**2*(i + 10118611)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 - -13. Suppose w*v - 4*r + 0*r = 13, r + 7 = 2*v. Suppose -v*y + 38 = -12. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of c*k**2*o**3 - 2*c*k**2*o + k**2*o**2 - 928*o**3 + 7*o - 43 wrt o.\nAnswer: 6*c*k**2*o + 2*k**2 - 5568*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 16000*r. Suppose -6*p - 7 = -7*p. Let b be j(p). Suppose -11*x + b = -7*x. Round x to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -45 + 49. Let q(k) = -k**3 + 3*k**2 + 5*k - 5. Let y be q(w). What is the common denominator of 27\/7 and 185\/(-25) - (y - (-2)\/(-1))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7265.\nAnswer: 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:12 PM and 12:28 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 12818 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 4:13 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = -5*f - 3*s + 19, 0 = -3*f + 5*s - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4161773711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 - 10 + n)*(-2*n + 0*n + n)*(3*n**3 - 3*n**3 - 5*n**3) + 49*n**5 + 10*n**5 - 10*n**5 + (-n + n - 2*n**2)*(-2*n - n**3 + 2*n).\nAnswer: 56*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1986 - 1148. Let b = 839 - h. Let r = 0.14 + 0. What is the nearest to r in b, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 44\/1637553 and 29\/684.\nAnswer: 19650636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from svlssqsqmvvvqvmv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 248.06 - 247.76. Sort -0.6, m, 2, -0.162.\nAnswer: -0.6, -0.162, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -117895, -471583, -1061063, -1886335, -2947399, -4244255?\nAnswer: -5776903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be -10*(-1)\/(0 + -1). Let z = b + -17. Let m = z - -59. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 2194*s**2 - 2179*s**2 + 4421*s**2.\nAnswer: 48*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -27 and -0.0735?\nAnswer: 1.9845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-235)\/(-45) + 2\/(-9). Suppose -u*b = j - 13, 3*j - 4*b + 1 = b. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -133 + 147. Solve -2*v - 24 = -x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -2*o**2 + 81*o + 43. Give j(41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**3 + 3*w**2 - w + 1. Let d be c(3). Let u be d*(-1 - 17\/2). Suppose 1 = -5*p - u. Let t(b) = -b**2 - 5*b - 2. What is t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 62*b + 63*b + 75*b - 192*b + 5.\nAnswer: 8*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 700.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 - -40652013?\nAnswer: 40652007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in seven thirds of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*x, -3*q + 18*x = 13*x - 65272. What are the prime factors of q?\nAnswer: 2, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7 in 16, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 2*j**2 - j - 2. Let h(p) = -2*p - 6. Let c be h(-5). Let y = c - 2. Calculate m(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9485 is divided by 3156?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 11+1431747\nAnswer: 1431758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -10 + 3 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**2 - 4*b + 5. Let r be t(4). Suppose -r = -i - 0*i. What is the remainder when ((-91)\/5 + -1)*(-3335)\/2668 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 518295 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 624 - 501 - 18*d - 20*d + 40*d to the form m*d + r and give r.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 87076, 87077, 87078, 87079, 87080?\nAnswer: 87081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -l + 55245 = 1136*l - 27756 for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.871 and 4?\nAnswer: 3.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4835409 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(119) - (sqrt(119)*2 - sqrt(119))*4)\/((1*sqrt(42) + sqrt(42))\/sqrt(6)))**2.\nAnswer: 9*sqrt(17) + 189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2178.483 in 3, -2\/13, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2006173757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.02 (b) 193 (c) 3 (d) 2\/9 (e) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6 or -1401\/232?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -539 by 2081.\nAnswer: -539\/2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -607*a + 59744 = 261*a + 999*a for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the first derivative of -1\/3*i**3 - 5\/2*i**2 + 6*i + 35. Suppose 0 = 3*h - m + 16, 0*h - 2*m = -2*h - 12. What is j(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k = -2*b - 14, 92*k - 93*k = -3*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -108*f + 753. What is v(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 268422\/(-4648)*8\/(-11)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -5*w**2. Let m(r) = -2*r**2. Let t(q) = -9*m(q) + 4*n(q). Let z(c) = 58 - 58 + 2*c - 29*c**2. What is t(z(u))?\nAnswer: -1682*u**4 + 232*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12 - 2321?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2486*x**3 - 4*x**2 - 6*x - 61. Is h(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 13402 and 13402 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -9, 44, 183, 450, 887, 1536, 2439?\n\"Answer: 7*j**3 + j**2 + j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -136 divided by -7642?\nAnswer: 68\/3821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7725 and 2325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -101*u + 100*u - 16, 4*u = p - 22. Let k(r) = r. Calculate k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -2*x**2 - 686*x + 40170. Determine v(-394).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 76006 + 623712.\nAnswer: 699718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 42359 - -1508. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 5078, 10155, 15232?\n\"Answer: 5077*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24692\/(-48)*(-23 + 11)?\nAnswer: 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 3*s - 1. Let w(h) be the second derivative of 0 - 7\/6*h**3 - 1\/2*h**4 - 2*h**2 - 1\/20*h**5 + 4*h. Give w(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 109 + -0.5449\nAnswer: 108.4551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-2 - 14\/(-8))\/(8\/(-64))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -c - y + 5 = 0, -2*c + 4*y + 0*y - 14 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 2\/5, 5, -7\/2, -367, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 58185.\nAnswer: 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -192 less than -930695?\nAnswer: -930503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -319 + 321. What is the lowest common multiple of a and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3354 * 4.\nAnswer: -13416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0051191 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 8*w = 100. Let k be (-1 - -2) + w\/8. What is the closest to -2 in 1\/3, k, 1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a\/((a\/a**(-3\/8)*a)\/a*a)*a**(25\/6)\/a assuming a is positive.\nAnswer: a**(43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 247111\/90915 + -155\/57. Sort 22, s, 0 in increasing order.\nAnswer: s, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1065?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2368950 divided by -31586?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 327250594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 17584 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-40000)\/880)\/125 + (-300)\/22 - -45.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2875, 2874, 2873, 2872, 2871, 2870?\nAnswer: 2869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -76.03 + -7.77. What is b rounded to the nearest integer?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 3)*(h**3 + 3*h**3 - 3*h**3)*(-40 + 37 + 35) - 2*h**3 + 6*h**3 - 2*h**3.\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3.968617mm in centimeters?\nAnswer: 0.3968617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -604? (a) -3 (b) -4 (c) 35\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 6557 + 11?\nAnswer: 6570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -877*t = -855*t + 1692*t + 107982 for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 510097742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, -184, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(208))**2 + 5 + (-2*-1*sqrt(468) + sqrt(468))**2.\nAnswer: 24*sqrt(13) + 4434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -8, 1\/24, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*m + 4*g - 208 = 0, 11*m + 4*g = m + 7*m + 10 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*h*h*h**2)*h)\/h)**(-41\/4)*h**3\/(h\/(h\/h**(-2\/13))) assuming h is positive.\nAnswer: h**(574\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 5*q**2. Let f be j(1). Let r = -5 + 9. Suppose -f*g + 3*i = r*i - 2046, 4*g - 4*i - 1632 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4\/(-6))\/(3\/(-972)). Suppose 3*u - d = -u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 - 18\/(-14)) + 66\/(-231). Suppose 3*x - 2*w + 9 = 28, -2*x + 2*w + 10 = s. Solve -x = 5*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the second derivative of w**4\/6 + 544*w. Let z(s) = -62*s + 3. What is v(z(g))?\nAnswer: 7688*g**2 - 744*g + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vuluufuuyllluyyfvf. What is prob of sequence yy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3*v - 3)*(11*v - 17*v - 25*v).\nAnswer: 93*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7.4 + 10.3. Let y = 26.7 - w. Does 0.2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 0*t - 20. Suppose 0*o = 2*u + 5*o - 1, -u - 4*o = t. Let i(x) = -20*x**2 - x + 8*x**2 + u*x**2 - x**3. What is i(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 7 = 1. Let d be (-12)\/10*10\/(-4). Find the third derivative of i**3 + 5*i**2 - i**2 + x*i**d wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -47594 - -49071. Is 1479 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21 - -46. Suppose -c = -4*i - i. Solve -4*f = i + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 5067133, 20268537, 45604209, 81074149, 126678357?\n\"Answer: 5067134*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.856 + -2.256. Sort 2\/15, f, -5 in ascending order.\nAnswer: -5, f, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 5\/3, 13051, 6.1, -6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.1 - 2.9. Suppose 409*t = 297*t + 448. What is the third biggest value in t, x, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5807634 divided by 6?\nAnswer: 967939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l + 10. Let q(b) = b - 1. Suppose 4*t = 4*t - 8*t + 8. What is t*v(d) + 5*q(d)?\nAnswer: 4*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 21802365 and 6435?\nAnswer: 239826015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 4*h = -22, 5*v - 4*v - 7 = -2*h. Let q(x) = -x**3 + 12*x**2 - 28*x + 6. Let s be q(v). What is the fourth smallest value in 2\/11, 2\/13, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y\/y**(2\/3)))**(-11) assuming y is positive.\nAnswer: y**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -49*i**5 - 593*i**4 + 593*i**4 + (i**2 + 3*i**2 - 3*i**2)*(2*i**3 - 2*i**3 + i**3) - 2*i**5 - i**2 + i**2.\nAnswer: -50*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -b**2\/4 - 309*b\/2 = 0. Calculate b.\nAnswer: -618, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**2 - 5*m - 5. Let w be g(8). Suppose 4*v - 81 - 67 = -4*i, -i = -5*v - w. What is the highest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:17 AM and 10:22 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**3 + 16*r**2 + r - 5. Give o(-16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-557*o**2 - 582*o**2 - 3*o + 1093*o**2 - 1)*(-67*o + 64*o + 3 + 0) as v + z*o + a*o**3 + h*o**2 and give a.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ukk. What is prob of sequence kku?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 119606 (b) 4 (c) -2 (d) 5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dfdddfdddfffd. Give prob of sequence dddd.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 34376950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of z**7\/18900 - z**6\/5400 + 4*z**4\/3 - 2*z**2. Let s(o) be the second derivative of f(o). Suppose s(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -4 - ((-2)\/9 - 728\/126). Let u(h) = -h**2. Let p(o) = -1. What is n*p(s) - u(s)?\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times 51.6?\nAnswer: 103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(1*sqrt(20) - sqrt(20)) + sqrt(240)\/sqrt(300))\/(sqrt(60)\/(-2*sqrt(486)))*3.\nAnswer: -54*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 12*i**2 + 119*i - 6746. What is t(-28)?\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:17 PM and 10:55 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2 - -35)\/((-4)\/(-20)). Let i = 191 - u. Which is the third biggest value? (a) 3 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2881a9 (base 12) to base 7\nAnswer: -5521440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -15 + 15 + 4*g + 50*g in the form d*g + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:32 AM and 6:59 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 34 (b) 22 (c) 0.3 (d) -1429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 2*d**2. Let q(m) = -13*m**2. Let s(a) = 14*g(a) + 2*q(a). Let j(y) be the third derivative of 1\/24*y**4 + 0*y**3 + 0*y - y**2 + 0. Give s(j(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 20 = -4. Suppose 413 = -m + 1718. Suppose -w = -v*w + m. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -4*z**3 - 49*z**2\/2 - 23*z - 5\/2 = 0.\nAnswer: -5, -1, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 36432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 269 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**2 + 231*w - 7136. Calculate i(195).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 + -6981372?\nAnswer: -6981374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 5*y**3 - 345460*y**2 + 5180395*y + 26249260 = 0.\nAnswer: -4, 19, 69077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y + 5*s = -41, -10*s = -3*y + 27 + 60 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -170*j - 66. Let r be h(2). Which is smaller: r or -408?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -754 = 5*p - 4*t, -t - 4 = -0*t. Let z = 235 + p. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {v: 5, q: 3, w: 1, l: 1, r: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-4)*(d**21\/d)\/d*d assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 23.64 in -2, 5\/6, 4\/3, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*(a**(1\/5)\/a)\/a)\/a*a\/(a**(-4\/5)*a)*(a*a**8)**(-11\/4))**(-6) assuming a is positive.\nAnswer: a**(309\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 178*i = 184*i + 84. Suppose 0 = 3*q + q + 2*u + 66, 78 = -5*q + 2*u. Are i and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 84696 divided by 4\nAnswer: 21174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*c + 106*c - 49*c - 1.\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 4 + -2 + -5 + 11 - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -447754205*a*y**2 + 1431*a + 31026 with respect to y.\nAnswer: -895508410*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**3 + 25*z**4 + 11*z**3 + 69*z**2 - 69*z**2.\nAnswer: 5*z**3*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 8113646, 8113650, 8113654, 8113658?\n\"Answer: 4*j + 8113642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 6 = 0, 3*p - 2 = 4*d - 80. What is the remainder when 141 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 5*u**3 - 4*u**2 - 9. Let m(y) = -2*y - 8*y**2 + 0 - 19 + 3*y - 2*y + 11*y**3. Let s(v) = -6*m(v) + 13*r(v). Give s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -230519 divided by 4\nAnswer: -230519\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 387 divided by 86509.\nAnswer: 387\/86509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -4*p - 4. Let g be f(5). Let h be -2 + (-3)\/g*14. Let z = -0.2 - -0.1. What is the second smallest value in h, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -40 - ((29 - 69) + (3 - -15))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -144 + 102. Let y = -39 - k. Let i(w) = w - 1. What is the units digit of i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 5*j**3 - 34*j**2 + 25*j + 250. Let c(b) = -5*b**3 + 35*b**2 - 25*b - 250. Let f(x) = 6*c(x) + 5*n(x). Factor f(a).\nAnswer: -5*(a - 5)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 437 - 186. Let q = -163 + u. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fox when three letters picked without replacement from oskfx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 3 (b) 0.2 (c) 2 (d) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 0.3 less than 0.1581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -4 less than -0.56627122?\nAnswer: 3.43372878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 3 + 1)*(5*a + 0*a - 4*a) + 5*a - 5*a + a - 25 + 10*a + 25 + (1 - 2 + 3)*(-5*a + a + 5*a))*(-1 - 3*a + 1).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 22123 - -1?\nAnswer: 22124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((24\/28)\/(-6))\/(31\/62). What is the fourth smallest value in -2, -8, f, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.879*-6.7.\nAnswer: 19.2893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -33 (base 11) in base 3?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*d**3 + 7*d**3 + 2*d**3 - 10*d**3 + 44 to the form k*d**2 + o*d + b + v*d**3 and give b.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(10\/(-5))\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(1300) + -2*sqrt(1300) + -4 + -2*(sqrt(1300) + -1))*3 + -6*6*(2 + sqrt(1300) + sqrt(1300) + 1))**2.\nAnswer: 176580*sqrt(13) + 8541181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 16? (a) 5 (b) -2\/5 (c) -0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -909743, -1819486, -2729229, -3638972?\nAnswer: -4548715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/(-4 + 1) - (-352)\/(-56).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 9918 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -19*h**3. Let j(d) = -5*d**3. Determine 4*a(g) - 18*j(g).\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -18, 0, -31, 4, -5, 7\/8 in descending order.\nAnswer: 4, 7\/8, 0, -5, -18, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -387 + 776 + 1130*c + 229*c - 389 to o*c + m and give o.\nAnswer: 1359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19523.\nAnswer: 7, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 2*x = -23, c - 2 - 6 = 3*x. Let h = 5838 + -5835. Sort -3, c, h, 7 in decreasing order.\nAnswer: 7, c, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 24518 and 9637.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 3*s**3 - 1. Suppose -2*d = 2*g, -g + 3*g = 2*d + 4. Let b be w(g). Suppose -b*l - 2*i + 52 = 8, -4*l - i = -85. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppplplpl. What is prob of picking 2 p?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) 62 (c) -5443\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -20 - -23. Let h be (6\/27)\/2*z. Let y = -42 + 47. Which is the smallest value? (a) h (b) y (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -101, -97, -79, -41, 23, 119?\n\"Answer: z**3 + z**2 - 6*z - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 79 + 0.51.\nAnswer: 79.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 850 and 5865?\nAnswer: 58650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 4*r + 3*r + 3 = 0, -4*z = 3*r - 1. Let s(d) = -z*d + d**3 - d**2 + 0*d**2 + 1 + 0*d. Let a be s(3). Solve -1 = 4*w + a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 297, 250, 203, 156, 109?\n\"Answer: -47*i + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 106, 161, 218, 277, 338, 401, 466?\n\"Answer: a**2 + 52*a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(2448) + -2*sqrt(2448) - (-1*sqrt(68)*6)\/sqrt(4))**2.\nAnswer: -12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 106*m**2. Let q = 182 - 179. Let n(f) = 4*f - 3. Let g(h) = -10*h + 8. Let d(t) = q*g(t) + 8*n(t). Calculate p(d(u)).\nAnswer: 424*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1804767368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -5, 2, -4 in increasing order.\nAnswer: -5, -4, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1434)\/(-10)*28\/42. Let v = 1597\/20 - d. Let g = -567 + 1211\/2. Calculate the common denominator of v and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/3 or -37759?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 612444550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*q**2 - 42*q**2 - 127*q**2)*(-q + 5*q - 2*q)*(7*q - q - 4*q).\nAnswer: -704*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -w - 36*w**2 + w**3 + 36*w**2 + (-2 + 4 - 1)*(-2 + 1 - 4)*(-2*w**3 + 3*w**3 - 17*w**3).\nAnswer: 81*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48205 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 1 (b) -4.53 (c) 0 (d) 192.8 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 119 - 250. Let q = b + 540. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*p - p**2 - 8*p)*(288 - 288 + 66*p)*(-2 + 2 + 2).\nAnswer: -132*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -3*j - 8. Let g(z) = 7*z + 17. Let x(b) = 9*d(b) + 4*g(b). Let q(c) = c + 19. Let k be q(-13). What is the remainder when x(k) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes after 1:27 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 11412 divided by -4\nAnswer: -2853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i - 7*q + 6*q - 480, -4*i = -3*q + 480. Does 15 divide ((-56)\/(-16))\/((-4)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4 + (-16)\/4)*(-2)\/6. Is -12\/17 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3865 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1032 is divided by 249?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, 4530, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 - 2.2. Let j = 7.865 + 0.135. Let g = j - 8. Which is the second biggest value? (a) g (b) m (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -3*s - 4935, 0 = -4*d + 234*s - 238*s + 6588. List the prime factors of d.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -12739369 or -12739372?\nAnswer: -12739369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -23135007759 and 0?\nAnswer: 23135007759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/38*(80300\/(-4818))\/((-4)\/(-48)*-10)\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 3*i + 4*r + 19, -13 = -4*i + r. Solve i*h = h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a - 0*a + 32. What is the units digit of -1 + 21 + (a - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u**(-1\/6)*u))\/((u**(-2\/13)*u*u)\/u*u*u))\/(u\/(u\/((u**(-2\/23)*u)\/u*u)*u)*u)**(-38) assuming u is positive.\nAnswer: u**(57437\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 - 3*u**2 - 5*u + 3. Let k = -11 - -14. Let m(n) = -n**2 - n + 1. Give k*m(v) - h(v).\nAnswer: -v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.26 - 0.06. Let i = 4.2 - f. Let j be (0 - (-5)\/3) + -2. What is the closest to i in -0.1, j, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - 32.1703.\nAnswer: -29.1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3, 10, 47, 120, 241, 422, 675?\nAnswer: 1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 2*x**3 - 67036*x**2 + 803638*x + 16954036 = 0.\nAnswer: -11, 23, 33506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.01 + -4.01. Which is the closest to 1? (a) 19 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -247055.283 rounded to the nearest 1000?\nAnswer: -247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2194 + 2194 - 132*h + (-3 - 4 + 5)*(2 + 2*h - 2) + 2*h - 6*h + 2*h + 7*h - 3*h + 2 - 2*h to u + c*h and give c.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 147 + -144. What is the third derivative of -114*t**2 + 8458 - 8458 - q*t**6 wrt t?\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**3 + 6*g**2 + 4*g - 4. Let q be l(-5). Suppose 0 = 4*z - 3 - 9. Solve 0 = -x - q + z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.16 + 0.36. Which is the second smallest value? (a) d (b) 2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*w + 93*w - 45*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 14922b + 12?\nAnswer: 14923d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 34\/7 in 0.3, -2\/11, -3\/302?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 14754, 59026, 132840, 236220, 369190, 531774?\n\"Answer: 4*b**3 + 14747*b**2 + 3*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 115446 divided by 6.\nAnswer: 19241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 1426 divide 56710421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o + 12 = 4*o. List the prime factors of ((-7)\/3)\/(o\/(-9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 12700 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 292 minutes after 4:10 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 + -33?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be -8*((-6)\/(-4) - 1). Suppose -3 - 1 = -2*u. Let q = o + u. Sort -0.4, -2\/3, q in descending order.\nAnswer: -0.4, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1194*o**3 - 768*o**3 + 1956*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1 + (-4)\/(-14))*198\/495. What is the nearest to 6\/7 in 5, x, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*m\/(m\/(m**3\/m))*m*m)\/m**(-3))**(-46))**(1\/7) assuming m is positive.\nAnswer: m**(-368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -25*d**2. Let j(y) = 72309*y. Give w(j(z)).\nAnswer: -130714787025*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2 - 5*n + 9. Let j be y(4). Suppose f = 2*v - v + 3, j*v - 3*f = -11. Sort 1, v, -8 in decreasing order.\nAnswer: 1, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -209.\nAnswer: -41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 166 + -105. Suppose -z + g + 26 = -41, 2*g = -z + k. Calculate the remainder when z is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 12 = 3*a. Let g = -77 + 82. Suppose -a = -g*k - k. Solve -13 = -3*u + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from syffffffssyyfys. What is prob of sequence sys?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*f**5 - 115*f**4 - 280*f**3 - 260*f**2 - 80*f = 0 for f.\nAnswer: -4, -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**18*d**(-25) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (3 - 16) + (-81 + 66 - (-180)\/2)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 120799558?\nAnswer: 2, 11, 29, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 4*h - 14 = 32, -82 = 5*k - 4*h. Is -20 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 24284 + -21255. Calculate the highest common factor of 39 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((-6*sqrt(33)\/((sqrt(27)*2)\/sqrt(9)))**2 + 4 + sqrt(44)*-2*4).\nAnswer: -96*sqrt(11) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -1. Let a(l) = -l**2 - l + 8. Let t(i) = -a(i) - 4*b(i). Let d be t(-3). Suppose -2*k - 8 = 3*z, 0 = 4*k + z + d*z + 4. Solve k*w = -w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 684*g - 2101*g + 0 + 188*g + 0 in the form l + n*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 - (-42 + 61 + -12 + (1 - 6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(-21)*(-11)\/(-44)*4. Is l less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11693*n**5 + 2*n**3 - 89*n**2 - 18147560*n wrt n?\nAnswer: 233860*n**3 + 12*n - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 + 4. Let l = -1.7 + -0.3. Let b = l + 2.5. What is the nearest to -2 in f, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1302767 (b) -25 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aha when three letters picked without replacement from xhvxhqhhaavhxvvhv?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 + 9*c + 4. Suppose -t + 4*y - 15 = 0, 2*y = -6*t + t - 31. What is the tens digit of b(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (-1 - 4) + 13 + (-19 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-116)\/(-58))\/(-2*5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 80*w - 17*w - 189. Solve -w*c + 3 = -3*g, 0 = 5*c + 2*g + 18 + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 11925021 + 0.4\nAnswer: 11925021.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-3)\/2)\/(1\/6). Calculate the common denominator of m\/102*(-5)\/3 and ((-90)\/(-540))\/(4\/(-177)).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (1 + 0) - -3 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 101*m**2*w**3 - 233*m**2*w**2 + 4*m**2*w*x**3 + 2*m*w**3*x**3 - 2*m*x**3 + 249*w**3*x - 2*w**2*x**3 wrt w.\nAnswer: 606*m**2 + 12*m*x**3 + 1494*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 352730 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 16 - 5)*(-4*h + 0*h + 5*h) + 1 + 0 + h + 0*h.\nAnswer: -16*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 5, u: 9}. What is prob of picking 1 u and 3 k?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k - 7*k**2 + 2*k + 3 + 3*k**2 + k**3. What is c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35 divided by -14?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 31.94 - -76.\nAnswer: 107.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 - 54\/5. What is the second smallest value in 10\/9, 2, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -523? (a) -2 (b) -0.4 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20499*y - 20517*y = -270. Let u(q) = 2*q**2 - 31*q - 31. Give u(y).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -7785*c - 568232. Determine j(-73).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from bibbib.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 85058.\nAnswer: 2, 71, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 43304.8 millennia in centuries?\nAnswer: 433048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:36 PM and 3:18 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1811?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -35 = -6*f - 29 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.962 - -2.038. What is the second smallest value in -2, s, 1\/17, 4, 0.1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -21, -20, -19, -18, -17, -16?\n\"Answer: h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the third derivative of -l**4\/8 - 3*l**2. Let r(h) be the second derivative of -h**3\/6 - 2*h. Calculate r(v(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 22*p + 3. Let b(v) = 2*v - 22. Let d be b(15). Suppose -2*u - d = -2*y, 2*u = 3*y + 4*u - 7. What is the tens digit of h(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 136 - 126. Suppose i*r + 5*y = 14*r - 10, 5*r - 19 = 3*y. Find the second derivative of 34*h + 17*h**r + 0*h**4 - 26*h - h**4 - 1 - 30*h wrt h.\nAnswer: 340*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n. Let y(l) = -2*l**2 - 22*l + 18. Let v be y(-12). Let m(r) = -11*r - 3. Let h(k) = 12*k + 4. Let g(x) = v*h(x) - 7*m(x). What is g(f) - 3*w(f)?\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**11*v)\/v**(-1\/38))\/(v*v\/(v*v**7))**16 assuming v is positive.\nAnswer: v**(4105\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 17*x - 5 - 9 - 5 wrt x?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1536288)\/(-572) - 2\/(-11) - -8. Round r to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46504352 a multiple of 1818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 3654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5651, -11287, -16919, -22547?\nAnswer: -28171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1103 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 2*p - 23, -2*p + 13 = -p + 3*r. Suppose -2*y - p*y + 114 = 0. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13693975 divided by 141175?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -18 + 35. Calculate the remainder when l is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4 - (-414)\/45)*(1 + 34). Suppose 4*o = 5*p - t, -3*p - 2*o = p - 130. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29901.67g in milligrams?\nAnswer: 29901670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 30*y - 35*y. Suppose -u = -15 + y. Suppose -3*v = 2*f + u, -6*f + 2*f - 5*v - 24 = 0. Which is the biggest value? (a) 0.2 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + 4 + -2 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -58 + 96. Suppose -v - 72 = -5*a. Let d = a - 155\/7. Are d and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -390467*c = -390399*c - 1564 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1034 in 1\/6, -0.08, -1\/3, 3.6, -1\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -2*k + 4, 3*k - c - 3*c - 4 = 0. Solve 0 = -3*q - 2*w + 6 - 2, 0 = -2*w + k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(5\/6)*(z\/(z**(1\/5)*z*z))\/z)\/(z*z**9*z*z*z*z\/(z*z*z**(-1\/3))) assuming z is positive.\nAnswer: z**(-137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*v**2 + 35445*v**3 - 42*v**2.\nAnswer: 35445*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/6*324\/990)\/((-7)\/35)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 3*v - 16 = -u, 5*u - 5 = 0. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8\/29 in 1\/4, -3, 0.4, 1152.395?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + -2 + -14 - (1 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*z**2 - z**4 + z**3 - z - 5*z**3 + 5*z**3 to m + f*z**2 + p*z**3 + a*z**4 + j*z and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qfffqffmq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 38 + -7?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 6*r = 2*r - 28, y - 3*r - 10 = 0. Which is the third biggest value? (a) 1\/10 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5368*j**3 + 4267*j**3 + 7302*j**3.\nAnswer: 16937*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -162 + -30a?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is (26\/(-52))\/((-2)\/170356) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 0 = 64. What is the remainder when 127 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i = 3*l + 12, -l + 2*i + 5 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -208*n**2. Let m(q) = q. Determine i(m(z)).\nAnswer: -208*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 522067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 39663 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62*i + 255*i - 63*i - 63*i - 66*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -15566\/7 + 2224. Put i, -27, 2.2 in decreasing order.\nAnswer: 2.2, i, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35230 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.3 (c) -5 (d) -14.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/2 + 5 + -3. Let n be q - (-5)\/((-15)\/(-6)). Solve -8 = -x - n*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10095658\/15 - -673044. What is t in 14\/15 - 2*t - c*t**3 + 6\/5*t**2 = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**2 - 10*r + 14. Let s be b(-11). Suppose 4*g + 36 = 4*o, 0 = 5*o + g + 2 - 23. Sort o, s, 1.\nAnswer: 1, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -580 - -746. Let r = f - 166.000000009. Round r to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 2, -25736, 3, 6, 5, 1 in decreasing order.\nAnswer: 6, 5, 3, 2, 1, -3, -25736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -45 (base 12) in base 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 AM and 8:00 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 3*n = -103 - 22, 285 = 5*p - 2*n. Let k be 1 + 3 + 5\/((-25)\/p). Let m(d) = 4*d. Calculate m(k).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -h**2 - 95355*h = 0.\nAnswer: -95355, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -527 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 12.30577199 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**2 + 33 - 7*p + 0*p**2 + 6. Let s be g(9). Suppose 103 = 8*q - s. Solve 2*b + q = 6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2251083 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - -75) + -33 - ((-5 - -4 - 3) + -2).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8785 and 2016785.\nAnswer: 14117495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*o + 32*o - 4*o**2 + 5*o**2 - 51 + 5*o**3.\nAnswer: 5*o**3 + o**2 + 44*o - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-4)*(-3)\/(-39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.6191897*2.\nAnswer: 1.2383794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 = -12*i + 205. Let o(p) = 7*p - 5. Let g be o(-3). Let d = g - -52. What is the remainder when d is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 47*q*r + 1781*q - 2*r wrt r.\nAnswer: 47*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*w + 1140 = 5*p + 3*w, -p + 5*w = -236. Suppose -4*j + 6*j = p. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 30\/(-4)*10\/(-15). Suppose 5*q = 0, -4*h - z*q = -3*q - 16. Suppose -h*d + 268 = 2*v, -3*d + 2*v + v + 183 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 7, t: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 11 in 3\/7, 2.9, -0.3?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 - 15 - 23*u.\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1650*l**4 + 31488*l - 16 - 29086*l + 16 wrt l?\nAnswer: -19800*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9213*c**3*u**3 - 182*c**3*u + 3*c**2*u - 2*c*u**2 wrt u?\nAnswer: 55278*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 31*q + 76. Let k be f(-9). Let y = 207 + k. Let u(o) = -o + 6. What is u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1*-2 + 0 + 6. Suppose -10 = 5*y - 4*l, -o*y - 14 + 2 = -4*l. Let f = -17\/2 - -9. Is y >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1330 divided by -5?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00006098 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(-11)*(-4 + 5). Let a = -118 - -1532\/13. What is the nearest to -0.1 in a, h, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the first derivative of -64*w + 27*w + 42*w - 196 + 3*w**2 + 36. Give h(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*y = 5*y + 20. Let n(t) = 2*t - 2. Let b(k) = 2 + 1 + k - 4*k. Determine y*b(j) + 8*n(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ybb when three letters picked without replacement from yyyyybybbybbyy.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -164789457553539 - 0.05.\nAnswer: -164789457553539.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (15 + 6 + -9 - 4 - 12) + 23\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 46, -1424033, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(3\/8)*y*y*y*y*y**(11\/3)\/y*y*y assuming y is positive.\nAnswer: y**(217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -48*n**2. Let g(z) = 8*z + 8*z - 47*z + 11*z + 13*z. Calculate g(m(j)).\nAnswer: 336*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 9319, 3631, -2059, -7751?\n\"Answer: -a**2 - 5685*a + 15005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1482746291, 1482746290, 1482746289, 1482746288, 1482746287?\nAnswer: 1482746286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 547818.6 micrometers?\nAnswer: 547818600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 246.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be 11\/(660\/232) - 6\/(-45). Solve 2*q = 14, -r*b + 10 = 4*q - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -321.83926231123 - 5281.16073701257. Let p = d + 5603. What is p rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((390\/(-390))\/(10\/2))\/(1*(-34)\/10).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*x**2 - 2*x**2 + 2*x**2 + (0*x**2 + 0*x**2 - x**2)*(4 - 5 + 4))*(3*x**2 + 0*x**2 - 4*x**2) to n*x**3 + k*x + r*x**4 + q*x**2 + c and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 8317 by -14.\nAnswer: -8317\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -86*i**2*k + 3*i**2 + 5*i*k + 2*i - 2*k - 2486 wrt i.\nAnswer: -172*i*k + 6*i + 5*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 311 = 2*h + 5*f - 0*f, 3*h = -4*f + 449. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9\/6*156\/9?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/21*(-21)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/1464 and 30\/11?\nAnswer: 16104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 121474, 242994, 364600, 486334, 608238, 730354, 852724?\n\"Answer: 7*w**3 + w**2 + 121468*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4696 + -2?\nAnswer: 4694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(27))**2 + 5.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -465*m - 29767. Determine z(-64).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 559*p + 3942. Let d be u(-6). Calculate the highest common divisor of d and 1554.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes before 1:59 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 324 is divided by 164.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 - 6*c**2 - 5*c + 2. Let j be f(-5). Factor 0 - 6*m**j - 2 - 2*m**3 + 0*m - 6*m.\nAnswer: -2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 785 + -781. Let m be 0\/2 - (-1)\/(l\/(-16)). Sort -2, m, 24, 5.\nAnswer: m, -2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -40 - -56. Let k = -10 + o. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3332805.\nAnswer: 3, 5, 7, 31741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - z)*((1 - 3*z - 1)*(6 - 2 - 3) - z + 0*z - 2*z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -323 - -5441?\nAnswer: 5115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 253 divide 4598730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -606, -559, -506, -447?\n\"Answer: 3*t**2 + 38*t - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7620 is divided by 268?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 301062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/33348 and 173\/210.\nAnswer: 166740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 0) + 3 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 139530 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2695797 and 1248.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -20 + 25. Sort -0.3, -2\/3, f in decreasing order.\nAnswer: f, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from mmzzmzmmzmzememmzz.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 22, 5, -2, -8, 1, -19, -5 in descending order.\nAnswer: 22, 5, 1, -2, -5, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g - 12 = 4*h, 14*h = 13*h + 4*g - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-13)\/(-78) + (5890\/(-12))\/5. Let q = 91 + h. Let r(d) = 4*d**3 - 6*d**2 - d - 2. Let k(w) = 5*w**3 - 7*w**2 - 2*w - 2. What is q*r(s) + 6*k(s)?\nAnswer: 2*s**3 - 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from goooeegeikkiieikgi. What is prob of picking 3 k and 1 e?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5.9 and -9345.\nAnswer: -55135.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 915, 1201, 1677, 2343, 3199, 4245?\n\"Answer: 95*h**2 + h + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 100 - 78 = -3*w, -r - 3*w - 17 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2*(-1)\/6)\/((-93)\/1116). Put 5, 2, 0, t in descending order.\nAnswer: 5, 2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001506 rounded to 7 dps?\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**3 - n**2 - n. Let w(x) = 7*x**3 - 4*x**2 - 6*x - 2. Suppose -c + 6*c - 20 = 0. Suppose v + 0 = 3, 2*d - c*v + 10 = 0. Give d*w(m) - 6*j(m).\nAnswer: m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 399?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**2 + 2*i + 25. Let u be x(6). Is 30\/17 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h + 7. Let q be d(-4). Let v(w) be the first derivative of 0*w**q + 2 - 2*w + 0*w**2 - 1\/2*w**4. What is the first derivative of v(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 48714 (base 9) to base 3.\nAnswer: 1122210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-10)\/95 - 2\/((-114)\/291). Solve 4*x + 20 = -y - y, 0 = 3*x + c*y + 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2\/7 - 8*s\/7 - 6\/7.\nAnswer: -2*(s + 1)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the second derivative of -t**4\/30 + 2*t**3\/5 + 11*t**2 - 5187*t. Factor v(z).\nAnswer: -2*(z - 11)*(z + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9351 is divided by 9334.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v - 10. Let p be a(13). Let h(n) = n**3 - n + 8. Let q be h(7). Suppose p*w - q = -5*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18543 is divided by 3409?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 6219.74, 0.1 in descending order.\nAnswer: 6219.74, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/17 or 3\/1940?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + b = -285, 4*k - 155 = 3*k + 3*b. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 803303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 3 = -w, -3 = 2809*w - 2807*w + 3*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {i: 5, w: 4, b: 1}?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1707185728.\nAnswer: 2, 67, 359, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -44 + (51 - 11) + (-7 - -1) + -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -23*t**3 + 13*t**2 - 52*t - 11. Let s(a) = -13*a**3 + 7*a**2 - 26*a - 5. Calculate -6*b(z) + 11*s(z).\nAnswer: -5*z**3 - z**2 + 26*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be 370\/(-1295) - -50*1\/77. What is o in 4\/11*o**3 + 0*o - l*o**5 + 0 - 2\/11*o**2 + 2\/11*o**4 = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 5*t + 16 = 0, -2*t = c - 3*t - 3. Sort 0, -81, -2, c in descending order.\nAnswer: 0, c, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = -5*l - 5. Let r be (4\/14)\/((-6)\/l). Let n = -24 + 191\/8. Are r and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -566, -1137, -1706, -2273, -2838, -3401, -3962?\n\"Answer: f**2 - 574*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -4*d**3 - 9*d**2 - 2*d - 14. Let b(r) = -7*r**3 - 17*r**2 - 27. Let f(k) = -3*b(k) + 5*u(k). Calculate f(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:12 PM and 10:17 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 771889, 1543735, 2315581, 3087427, 3859273, 4631119?\nAnswer: 5402965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -d0789 (base 14) in base 11?\nAnswer: -312375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 348 + -298. Suppose -2*a = 5*t + 104, a + 2*t + 36 + 15 = 0. Let v = a + h. Solve u = 2*u + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1\/12)\/(9\/(-18)). Put y, -3, -1\/7 in increasing order.\nAnswer: -3, y, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3469 + -3467. Solve -j*a = -4*q - 28, -3*q + 61 = a + 72 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/2669 and -26\/2159.\nAnswer: 338963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/50*5815\/31401\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the second derivative of -w**7\/420 + w**6\/40 + w**3 + w. Let n(z) be the second derivative of i(z). What is the third derivative of n(c) wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c*c**2*c**6 assuming c is positive.\nAnswer: c**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/4)\/((-1)\/((-3)\/(-12)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2681 take away 78035.111339?\nAnswer: -80716.111339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 6*v = -x + 2396, -4*x - 16 = 0. What is the greatest common divisor of 75 and v?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 6940*p + 24 + 6935*p - 13915*p. Calculate g(-2).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 297295752 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 42.3 - 42.88. Let n = -4.58 - k. What is the third smallest value in -0.5, -20, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 246 = 3*l + 2*c, -4*l - 3*c = 300. Let q = -544\/7 - l. Let t be (6\/20)\/(15\/(-10)). What is the second smallest value in q, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (4*c + 0*c - 3*c)*(-2 - 3 + 3)*(2 - 1 - 2 + (-2 - 9 + 0)*(-1 + 5 - 3)) in the form w*c + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -12*w + 6. Let t be q(-6). Suppose 3*f - 6*f = -t. Calculate the greatest common divisor of f and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*n + 12716 = 9*n. Suppose 4*d - 9*f + 8*f = 452, -n = -5*d - 2*f. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 20*u**3 + 8*u**2 + 8. Suppose -10 = -3*t + 14. Let i(o) = 7*o**3 + 3*o**2 + 3. Determine t*i(a) - 3*z(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/2040 and -137\/450?\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.6 and -847278.29.\nAnswer: 508366.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 342 + 654 = 4*n. Let b = 921 + -871. What is the remainder when n is divided by b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 54193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:03 PM and 8:56 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -63*n**4 + 767*n**3 + 241307*n**2.\nAnswer: -1512*n + 4602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-2))\/((-1)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -7*j - 24. Let x be h(-6). Suppose 2*r + r = x. Let n(o) = -o**3 - o**2 - o. Let b(k) = -5*k**3 - 6*k**2 - 8*k. Calculate r*n(l) - b(l).\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1687 + -1752. Suppose 4*j + 38 - 7 = -3*u, 5*u + 5*j + 55 = 0. What are the prime factors of (-465)\/l - (-2)\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**2. Let z = -56 - -53. Give q(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**2 + 9*x - 6. Let v(y) = -y**3 - 20*y**2 + 68*y - 32. Let m be v(-23). Give g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 3431.664 microseconds?\nAnswer: 3.431664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.42 - -1.58. Which is the closest to -2\/13? (a) q (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10560 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*q = -95*q + 48*q - 65. Suppose 0 = -3*n + 18 + 24. Suppose -3*f + n = g, q*g - 5*f = -13 + 3. Calculate the greatest common divisor of 8 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 36653734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-6))**(-13) assuming l is positive.\nAnswer: l**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -3*n + 20. Solve 3*l - 3*w = -16 - 8, 0 = n*l + w + 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 71\/5 of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18\/45)\/(20\/(-6)*(-84)\/(-60)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 20312303 (base 4) to base 3.\nAnswer: 1211202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -24.86 or 1\/3?\nAnswer: -24.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 303361.\nAnswer: 2730249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = -2*d + d, d = n + 6. Let t = -6 + d. Let k(c) = -c**3 - c**2 + 3*c + 2. Let g(i) = -2*i**3 - i**2 + 4*i + 2. Calculate t*g(p) - 4*k(p).\nAnswer: -2*p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15 and 38805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttpttvtpttv?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -1026, 236, 2, 0, -2, 3.\nAnswer: -1026, -2, 0, 2, 3, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-7)\/15 - 68\/(-102). Let d = 2.3 - 0.3. Let n = -2.4 + d. Which is the second smallest value? (a) x (b) -4\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/7 and (-1004)\/(-140) + 2\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -10*b**2 - 119*b + 17. Let z = 4 - 0. What is the remainder when n(-12) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 4*g + 102237594. Let f = 1398594 + g. Let n = f + 16480604. Round n to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*u**3 - 615*u**2 + 47780*u + 200640.\nAnswer: -5*(u - 57)*(u + 4)*(u + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add -0.2202 and 0.459279.\nAnswer: 0.239079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the third derivative of g**4\/6 - 3*g**2. Let h(j) = j. What is o(h(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -13a7 + 7613?\nAnswer: 6228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 46.4 > 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the second derivative of -y**6\/360 - 5*y**4\/6 + 38*y - 1. Let k(s) be the third derivative of o(s). Let l(f) = 87*f. Determine k(l(i)).\nAnswer: -174*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2*(-162)\/(-12)*(-10)\/(-6). Let i = u + 29. Calculate the remainder when i is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, l: 1, i: 5, v: 1, e: 6}. What is prob of sequence ejl?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 44, 29\/8, -3, -88, -5?\nAnswer: 29\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f - f = -5*d - 7*f, -20 = -4*f - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 37\/(111\/18) + (0 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 290926589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 13) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 44841353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, r: 3, h: 1, d: 2}. What is prob of sequence rd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 685956586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 832968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -433*p**3 + 429*p**3 - p + p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5736 - -3853. Let q be -2*s\/98 + (-6)\/14. Let h = q + 88. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o - 13. Let r be k(16). Let w be 3\/(r\/(-1)) - (6 - 5). Which is the closest to -4\/5? (a) -2\/5 (b) w (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 899 + -899.19. Let r(b) = -b + 7. Let h be r(8). Let k be 2\/110 + h\/5. What is the biggest value in o, -0.3, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 216058151 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -5*c**2 - 244830*c - 5383840 = 0.\nAnswer: -48944, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-125)\/(-6) - (-7)\/42 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is ((-3)\/(-12))\/((-28)\/82208)*353\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*((1 + sqrt(19) + 1 - (sqrt(19) - (sqrt(76)\/sqrt(4) + -2))) + sqrt(1216)*2 + -3 + 3 + sqrt(1216) + sqrt(1216) + sqrt(1216) + -1 + sqrt(1216)))**2.\nAnswer: -3528*sqrt(19) + 1642320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 103632*d - b - 1 = 103631*d - 18, -3*d = b + 55 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 89117 times 0.1\nAnswer: 8911.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-4)\/10)\/(5\/(-25)). Suppose -4*w - t*l = 10, 4*w - 2*w + 30 = 4*l. Let h(n) = n**3 + 5*n**2 - 2*n - 7. Give h(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {b: 3, l: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 281\/6 - 1\/(-6). Suppose -3*u + 3*c + x = -u, -113 = -5*u + 3*c. Let o = u + -2. Calculate the remainder when 58 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 27 (base 10) to base 11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 11, l: 3}. What is prob of sequence laal?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttegtgfftffgtegtgt. What is prob of sequence gt?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -11247*w**3 - 6*w**2 - 4*w. Let f(i) = -4577529*i**3 - 2445*i**2 - 1630*i. Give 2*f(m) - 815*n(m).\nAnswer: 11247*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1751 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, p: 6, e: 2, m: 4, c: 2}. Give prob of sequence ep.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1843191485 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 6 = -3. Let o be (-2829)\/v - 6\/(-9). What is the highest common divisor of o and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, 16, -2, 921?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 105 and 2415?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -1102221 (base 3) to base 12.\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9149 - -9149. Solve -30*w - 56 + 26 = k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 914 = -3*n, 4*n + 900 = -4*y - 0. Let r = y + 376. What are the prime factors of r?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 61306940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**2 - 1. Let y = 5 - 0. Let r(v) = -v**2 - 2. Let l(z) = y*r(z) - 6*g(z). Solve l(c) = 0 for c.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -192*r + 101*r - 261 = -100*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3*u**2 + 5 + (2*u + u + 0*u)*(0*u - 2*u + 0*u) + 5 + 4*u**2 - 5)*(5*u - 5*u + 2*u**2).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -237 - -237.1. What is the second biggest value in g, 2, 5, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -19268, -77016, -173256, -307982, -481188, -692868, -943016, -1231626?\n\"Answer: b**3 - 19252*b**2 + b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20770 and 465?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of (6 + 954\/(-30))*(-15090)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-3)*9\/(-12)*28\/1932\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -51 (base 6) in base 11?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*f - 12, -5*q - 119*f + 115*f + 24 = -3*q + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 16049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be 9\/(-6) + (-416)\/320 + 5. Determine q so that -1\/5 - a*q**2 - q**3 - 7\/5*q = 0.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -343\/16 in 3, -43, -7, -1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 748*a**2 + 179*a**2 + 257*a**2 + 73*a**2 + 266*a**2.\nAnswer: 1523*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + (2 + 3 - 8) + -47 + 66.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -146\/1931 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (30\/21)\/5 - 0\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**3 - 7*s**2 + 9*s + 6. Let d be i(-8). Let q = d + 18. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 2 + 2. Let l(n) be the third derivative of n**5\/60 - n**4\/6 + n**3\/2 + 8*n**2. Let d be l(p). Solve q = -d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 50*o**3 - 3*o. Let v be (-50)\/(-24) + (-409)\/4908. Let t(s) = 51*s**3 - 2*s. Determine v*n(d) - 3*t(d).\nAnswer: -53*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 8530036230 rounded to the nearest 100000?\nAnswer: 8530000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 187, 638, 1389, 2440, 3791?\nAnswer: 5442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 11 + 57 = 0. Suppose -k + q = -0*k. Suppose -4*t = n - k, -3*t + 0 + 16 = n. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-35)\/10*(0 + 12\/21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -59*x**2 - 252*x + 17418. Let l(h) = 49*h**2 + 254*h - 17419. Let u(z) = 6*l(z) + 5*o(z). Factor u(i).\nAnswer: -(i - 132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -14*d**4*i**2 + 248*d**2*i**2 + i**2 - 394*i - 2 wrt d?\nAnswer: -56*d**3*i**2 + 496*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 51*k**4 - 10821*k**3 - 241602*k**2 - 1353804*k - 1828584 = 0.\nAnswer: -218\/17, -6, -2, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*x**2 - 126*x**2 - 3*x**2 + 23*x**3.\nAnswer: 23*x**3 - 168*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from seatm. Give prob of picking 1 s, 1 e, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be 173 - (2 - 3)*-1. Suppose -r - 3*r = -w. Suppose -65 = -5*x + 2*g, 0 = 3*x + g - 3*g - r. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1212 + 1212.063. What is the nearest to 1 in -4, -2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1731, 1735, 1741, 1749?\nAnswer: 1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = s + 4*r + 123 - 144, 13 = 3*s + 2*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*i - 525 = 4*i + 5*a, 3*i = -4*a + 417. What is the remainder when i is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {g: 6, m: 1, e: 2, f: 2, w: 7}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -131 + 24. Let h = -69 - c. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9379757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/117172 and -133\/585860.\nAnswer: 585860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -694*i**5 - 838*i**4 + 838*i**4 + (3 - i**2 - 3)*(2*i**3 + i**2 - i**2) + i**5 + 0*i**5 + 3*i**5.\nAnswer: -692*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4403851 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 13 (b) -0.1 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 66092998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(143) - sqrt(143)*-5 - sqrt(143))*5 - -4*-1*sqrt(143))\/((sqrt(66) + -1*sqrt(66)*-2 + sqrt(66))\/(6*sqrt(54))))**2.\nAnswer: 464373\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.00293 * -4\nAnswer: 0.01172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 5 - 40)*(2*x**4 - x**4 + 2*x**4) to the form r*x**4 + k*x**3 + d*x**2 + l + t*x and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/138529692 and 121\/151830.\nAnswer: 692648460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00002355805 to seven decimal places.\nAnswer: -0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4244 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h - 4*h + 39*h**2 + 3*h + 2*h**3 - 41*h**2. Let z be x(2). Solve z*r + 0*r = -5*v - 20, -2*v - 5*r = 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4\/36 - 84\/(-216)) + (-427)\/2. Which is smaller: -208 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -456 + 709. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1288937.88 plus 212.3?\nAnswer: -1288725.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 + 5. Suppose -25 = 2*z + v*z, -5*z = 4*j + 89. What is the units digit of -4*(-4)\/64 - 924\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of 3*z**5\/10 - z**4\/6 + z**2\/2 + 5*z. Determine a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 197147*-4.\nAnswer: -788588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -11*d**3 + d**2 - d - 3. Determine v(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 59059 and 4992?\nAnswer: 22678656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/42174 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 10411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 4*o + 16, 3*w - 5*w = 4*o + 8. Let g = w - -12. What is the lowest common multiple of g and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/20*(-4)\/16*-10\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 3, k: 1, c: 5}. What is prob of sequence kc?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 7*x = 0. Let d = 2 - 0. Suppose -3*g - u + 20 = 0, -4*g - 2*u + 24 = -0*g. Solve d*m - g = -x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of 17*g**7\/210 - g**3 - 34*g**2. What is the first derivative of l(n) wrt n?\nAnswer: 68*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 42 = 22. Let z be (0 - x)\/(-4) - 0. Sort z, 5, 0.\nAnswer: z, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 7, i: 4, s: 4, j: 2, u: 1}. What is prob of picking 1 i, 1 s, and 1 u?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence th when two letters picked without replacement from vvvvggvtvthvv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 846057*l*n**2*s**3 + 2369*l*n**2*s + l*n + 4*l*s**3 - 4*l*s + n**2*s + 4*n**2 wrt s.\nAnswer: 5076342*l*n**2*s + 24*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + i + 2 = 0. Suppose -3*c = -r - 1, 5*c - i*r = c. Let a = -3 + c. Are -4\/7 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -o - p, -p + 235 = -3*o + 260. Solve -20 = 4*q + 4*v, 7*q - 5*q = v - o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14 + 9. Calculate the remainder when g*3\/(6\/(-4)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-575339)\/(-38) - 16\/(-32)?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6 - -8. Suppose -7*z + q*z + 20 = 0. Solve -3 = 3*k + 3*t, -5*k + 5*t + 13 = z*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 84665.28ml to litres.\nAnswer: 84.66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 0.3, -1\/6, 2.3004?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -527 (base 8) to base 13.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + n - 2*p = 20, -5*n = 3*p - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes before 4:37 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 482 is divided by 77?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1041, 2086, 3131, 4176, 5221?\n\"Answer: 1045*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 95 + -92. What is the greatest common divisor of 2 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 912618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 - 14*j**2 - 12*j + 13. Let d be h(-13). Let r = 4 + d. Let u = 21 - 11. Solve r*o = -o - u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*o**5*t - 14363*o**5 - 260*o*t + 13*t wrt o.\nAnswer: 40*o**3*t - 287260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 12515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.23393906 + 0.3\nAnswer: 0.53393906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*r - 8144306 - 3909653 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22270139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 355761229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h + 1 = 5*q - 14, -4*q = 2*h + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the first derivative of 3\/5*o**5 + 0*o**4 + 10\/3*o**3 + 120 - 35\/2*o**2 + 0*o. What is the second derivative of k(r) wrt r?\nAnswer: 36*r**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -43*u**3 + u + 2. Determine i(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 30*h - 842. Calculate p(26).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -424*x - 80121. Calculate y(-189).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, -2, 4912 in descending order.\nAnswer: 4912, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5050 is divided by 2477.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 11 (c) -2\/9 (d) -15\/8 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 103 and 588439.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 149 + 144 + 147 + 64*r - 66*r - 440. Let x(d) = -10*d + 6 - d - 2. Determine x(q(f)).\nAnswer: 22*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b + 10. Let p be n(-5). Suppose 0 = 5*t + 5*w + 165, 0 = -t + 4*w - 52 - 1. Let d = -20 - t. Solve p*g - d + 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.1*-48332.\nAnswer: 53165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes after 10:46 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of 3801*z**2\/2 + 1711*z + 2450. Differentiate q(p) with respect to p.\nAnswer: 3801","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154485 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9804 + 21*t**3 - 9812 + 29429 - 9813.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 268*i - 1784 - 845 = 51 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 + 4. Let y = 0 + -6. Let o = y - n. What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 95712 is divided by 93334.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, c: 2, z: 1, p: 6}. What is prob of picking 1 w and 1 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -36\/55 and -26\/105.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 8, i: 2, j: 3, q: 4}. Give prob of sequence bjib.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 4*p = 5. Solve 6*k**3 - 3*k**5 - 4*k**2 + k**p - 4*k + 2*k**4 + 2*k**2 = 0 for k.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:47 AM and 2:03 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 4:54 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4\/(-6) - 12\/(-18))\/(-2). Suppose 3*j + 4*n - 1 = b, -3*n + 3 = 3*j + 6. Sort 0, j, 19, -3.\nAnswer: j, -3, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 276851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v + 13*v = -1380. Let k = 217 + v. Let g = k - -128. Solve g = 4*x + 9 - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -11*t - 38. Let d be n(-3). Sort d, 6, -36, -2 in descending order.\nAnswer: 6, -2, d, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*p**2 + 15*p**2 + p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10366 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 395250 is divided by 1544?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u + 3*z + 21, 0 = -0*u + u - 4*z - 24. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -14*u - 142. Let y be v(-10). Let r(s) = -27*s**3 - 5*s**2 - 5*s + 4. What is the smallest common multiple of 8 and r(y)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2028 + -2031. Let g(r) = 6*r. Let x(z) = z. Determine s*g(f) + 12*x(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -85, 1, 159, -7, 2 in increasing order.\nAnswer: -85, -7, 1, 2, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2.58465 rounded to 2 decimal places?\nAnswer: -2.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (48\/32)\/(2*7 + 175761\/(-12578))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of z**5 + 0*z - z - 2*z wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 + 1. Suppose f + 2*f - 9 = b. What is the least common multiple of 2 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-1\/11)*f)**(17\/5))**(-26))**(-3\/5) assuming f is positive.\nAnswer: f**(2652\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -280*t + 183 = -228 + 2758 + 2693 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -5*t + 4. Let y(j) = 3*j - 4 - 5*j + 2 + 4. Let m(s) = 4*k(s) - 9*y(s). Give m(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 288225 divided by -3843.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26, -49, -74, -101?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.46 - 25.46. Let a = r + 27. What is the closest to -1 in 5, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the first derivative of -9*j**5\/5 + 29*j**3\/3 - 35. Find the third derivative of w(z) wrt z.\nAnswer: -216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 10, e: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 40 - 321\/8. What is the fourth biggest value in -5, -0.3, 0, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*m = -30*m - 1. Let s be (54\/(-9))\/(1\/(-2) + m). What is the highest common divisor of 44 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25720 and 54630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of (20\/(-6))\/(11\/(-132))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 494*u**2 - 58*u - 57. Give b(-1).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(-1) + -1 - -4. Suppose v = 4*o - 75, 3*o + 3*v = -2*v + 39. Suppose -o = -a - g*z, z = -2*a + 13 + 11. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -4*v**3 - 18*v**2 - 8*v - 76. Let u be q(-5). Solve u*m - 9*m = -5*k + 10, 0 = -k + 3*m - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -m**3*v**2 + 2932*m**3*v + m**2*v**2 - 3*m*v**2 - 275*v wrt m?\nAnswer: -6*v**2 + 17592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from vwwvwvvvvwww?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 139886 (base 11) to base 6.\nAnswer: 4401155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5334 + -5330. Solve 0 = -f*o + 13 + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -88*g + 69 = -153*g + 88*g. Let b(c) be the second derivative of 7\/24*c**4 + g*c + 5\/12*c**3 + 0 - 1\/2*c**2. Find k such that b(k) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*-7633\nAnswer: -22899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 658.3 + -699. Let u = y + 48. Let q = u + -7.29999957. What is q rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4 + -4 + 3 - (-1 - 206)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/90 and -141\/38500.\nAnswer: 346500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 99 - 143. What is the common denominator of 122\/k - (1 - 2) and -41\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -1. Let v(b) = b - 11. Let w(a) = 3*c(a) - v(a). Let z be w(6). Let f be 0\/4 - -1 - -1. Solve f*x = -z - 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -837, -958, -1033, -1038, -949, -742, -393?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 98741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -3026*f + 803*f = -26676 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 805764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 75194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 94, 191, 288, 385, 482, 579?\n\"Answer: 97*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2330263399?\nAnswer: 3769, 618271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 8*d**2 + d - 1 - 8 - 3 = 0. What is d?\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -143\/12 and -89\/1168.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -43 + 35 + 16 - (-5 + -7)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (55\/70)\/(-11)*-2 + 75\/63. Factor 8\/3 - 4\/3*s**2 - d*s.\nAnswer: -4*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1246 times -0.1?\nAnswer: 124.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzm when three letters picked without replacement from zzm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x**4 - 2*x**4 - 52*x**2 + 47*x**2 - 15*x + 28*x**4 + 15*x + (0*x**2 + 3*x**2 - x**2)*(-1 + 1 - 2*x**2) - 2*x**4 + 2*x**4 - 2*x**4.\nAnswer: 20*x**4 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 120 and 16440.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -182, -448, -802, -1244, -1774, -2392, -3098?\n\"Answer: -44*r**2 - 134*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -361*m - 19. Let o(q) = 40*q + 2. Suppose p + 3*f = -0*p - 7, 2*f = -p - 4. Let a(d) = p*j(d) + 19*o(d). Let u(w) = -2*w. Give a(u(g)).\nAnswer: -76*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 158 + -159. Let d(f) = 10*f + 9. Let c(y) = -5*y - 5. Let a(n) = n + 1. Let i(l) = -25*a(l) - 4*c(l). Let k(x) = -6*d(x) - 11*i(x). Give k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 975 by -195.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 18 - 114 - 1797*f + 907*f + 897*f. What is w(24)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 - 14 = -2*l. Suppose -3*k + 116843 = a - 5*a, 0 = 4*k - l*a - 155800. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 12\/13, -4, 3.81, 2\/9?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h = -58*h + 86. Solve -h = 15*r + 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3 - 8\/(-3) - (-80)\/285. Suppose -z = -2 - 1. Let y = 2 - z. Is k less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2903 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 8) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) 0.1 (c) 415 (d) -2 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -1\/3 (c) 1\/2038 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 153 - -135. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -14761, -14761, -14769, -14791, -14833, -14901, -15001, -15139?\n\"Answer: -h**3 + 2*h**2 + h - 14763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, v: 1, a: 2, l: 2, j: 2, x: 1}. Give prob of picking 1 v, 1 j, and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 41096*z - 40424*z + 10752 = 0 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + 26 + (114 - 121).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4133*o**3 + 135391 - 135391 + 16*o.\nAnswer: 4133*o**3 + 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 38 + -39. Let d be h + -1*9*(-6)\/9. Factor 433 - 437 + d*p - p - p**2.\nAnswer: -(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3\/3 - -3) + -4. Suppose 2*i + 6 = x, -6*y + 5*y + 3*i = -127. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -5*t - 25. Let d be u(-6). Suppose d*r = -321 + 76. What are the prime factors of ((-84)\/r)\/((-4)\/(-266))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7722197 divided by 18.\nAnswer: -7722197\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6950\/33 or 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 13 - 48 = 0. Suppose -2*t + 28 = 3*k, -x - 20 = -3*t + 3*k. Suppose 0 = -3*c + t + 4. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -25932 divided by 3?\nAnswer: -8644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 1751776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 172973411*d**2 - 50274488.\nAnswer: 345946822*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y - 1. Let h(d) = -2*d - 10. Suppose 2*a - 8 = 0, -r + 16*a = 13*a + 13. Give r*h(z) + 4*o(z).\nAnswer: -2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-6))\/(6\/(-9))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 + -100101?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 3, c: 7, o: 3}. Give prob of sequence zcz.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 6 = 2*p, 140*z - 139*z - 3*p = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -61.13 to zero dps.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 plus -2.3161549506?\nAnswer: -2.8161549506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 23375 and 2475.\nAnswer: 210375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {b: 14, m: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10 - -33. What is the remainder when l is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -130*u**2 + 5*u - 35. Let n(f) = 27*f**2 - f - 1. Let m(i) = 5*n(i) + o(i). Let x(r) = r**2. Give x(m(t)).\nAnswer: 25*t**4 - 400*t**2 + 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -165*g + 110 wrt g?\nAnswer: -165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1777385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2 - -0.96?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let -4*d**4 + 44*d**3 + 100*d**2 + 52*d = 0. What is d?\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 147 is divided by 55?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -3*f. Let h(n) = -n**2 - 1191355*n. What is o(h(a))?\nAnswer: 3*a**2 + 3574065*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -24359*m + 24366*m + k - 97, m - 3*k = -50 - 197 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*j + 60 + 5 - 21 + (5 + 57*j + 11*j - 6)*(2 + 1 - 4).\nAnswer: -70*j + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 104202, 104201, 104200?\nAnswer: 104199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k + 2*k + 10 = 0. Solve -8*r + 3*r + b = 0, 0 = 2*r + k*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 30*o**3 + o**2 - o. Suppose 0*y - 8 = -8*y. Let w be l(y). Suppose -10 = -u + t, -2*u + 4*u + 3*t = w. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 4161183 (base 10) to base 6\nAnswer: 225104423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 409694 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 22\/(-605)*-110 - (-8)\/5?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*j**3\/4 + 117555*j**2\/2 - 2763835605*j\/4 = 0. What is j?\nAnswer: 0, 23511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a = 3*r, 2*r + 16 = 5*a + 3*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tsposotbto. Give prob of picking 1 s and 3 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 15010 and 38855.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 653*z**2 + 184*z + 765. Is c(-5) a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -17814036 divided by 762\nAnswer: -23378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - 28 - (-12 + (-33 - (-75 - -24))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 89 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be -7*(-22)\/77*52\/8. Let d(v) = 15*v - 1. Let o be d(1). Does o = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23936304 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4*15\/((-14250)\/(-19)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-25)\/(-4))\/(11 - 12) + 6. What is the nearest to -0.1 in 0.5, -2\/5, l, -79?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/2840 and -101\/17040.\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/132 and -71\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -4*t - 4. What is w(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1560287 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7 - 4. Is 1\/((-4)\/(-2676)*s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -302*w = -454*w + 152. Solve 3*m + 2*t = 5, -w = 2*t - 3*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5197153691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(102)*-1 - sqrt(102)) + (sqrt(102) - (4*sqrt(102) + sqrt(102) + sqrt(102) + sqrt(102))*6))\/(-1*sqrt(2400) + -2*sqrt(384) + sqrt(384)).\nAnswer: 23*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 97336 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -640 - -674. Let g be 1*-4*3\/(-30). Is g bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-18)\/12 + -2 - 1\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(132)\/(sqrt(11)*-2)*-2)\/(-3*sqrt(48)\/sqrt(2)))**2 + -5.\nAnswer: -89\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 0 = -4. Let b be (3 + -1)\/(4\/x). List the prime factors of b + 84\/(1 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -16*b - 1551. Let l be h(-97). Suppose 0 = g + n - 1, -g - g - 3*n + 7 = 0. Let y(a) = 7*a**2 + 4*a. Let c(m) = -m**2 + m. Determine g*c(t) + l*y(t).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 865.62*-3187\nAnswer: -2758730.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6142629100 rounded to the nearest one million?\nAnswer: 6143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 29563394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/15? (a) -5 (b) -0.05 (c) -6\/13 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.03 + 2.03. Sort k, 5, 1\/5 in decreasing order.\nAnswer: 5, k, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 673426958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 25 + -22. Suppose c - 4 = 5*k + t, -112 = -4*c - k. Let q be 9\/(c\/(-6)) + 3 + -1. Solve -j + q = -4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 3 - 3)*(2*a - 5 + 10 + 6 + (3 + 0 - 1)*(-5*a + 2*a - a))*(a + 0 + 0).\nAnswer: -36*a**2 + 66*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(98)*1 + -5 + (-1*sqrt(98) - sqrt(98)))*1*-3*2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -827 - -975. What is the highest common divisor of p and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9624 divided by 3208?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8\/25 - 2\/25. Let b = 20.7 - 11.4. Let l = b - 9. What is the closest to a in -2\/3, 0, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 242 is divided by 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 185491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**3 - 21*j**2 - 47*j - 23. Let h(t) = t - 41. Let u be h(22). What is the remainder when g(u) is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*m - m - 2*m)*(-6 + 2 - 2) - 6*m - 3*m - m.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(1573) - (sqrt(1573) - 3*sqrt(1573)) - sqrt(1573)))**2 + (sqrt(1573) - sqrt(1573)*-1)*-3.\nAnswer: -66*sqrt(13) + 56628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 42088810 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s + 1. Suppose 2*f - 10 + 18 = 0. Let w(h) = 5*h - 23. Let d(b) = f*z(b) - w(b). Let g be d(7). Which is bigger: 13 or g?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - a + 2*a - 2*a)*(-6*a**3 - 11*a**3 + 14*a**3).\nAnswer: 3*a**4 - 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 5*w**4 + 5410*w**3 - 16260*w**2 + 16270*w - 5425 = 0.\nAnswer: -1085, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 364365301?\nAnswer: 17, 53, 79, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -161 = -5*b + p, 6*p = 3*p + 12. Suppose -b - 27 = -4*o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19042388 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*g**3*q**2 + 1809*g**3*q + 167*g**2*q + 13*q**2 wrt g.\nAnswer: -12*q**2 + 10854*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 44\/(-187)*(-4913)\/(-578).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 2 + 6. Suppose -56 - 4 = -d*s. What is the highest common divisor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2259, -1686, -1083, -432, 285, 1086?\nAnswer: 1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 119 + -4*(-2)\/(-4) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:19 PM and 9:28 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 581 + 72. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.0292 - -0.0292. Let w = 22 - 45\/2. What is the closest to p in 2, w, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q*q**(2\/3)\/q*q)**(-20)*(q*q\/(q\/((q\/(q\/(q\/q**(2\/5)))*q)\/q*q)))**28 assuming q is positive.\nAnswer: q**(292\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -102 divided by -7.\nAnswer: 102\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 2*d + 0*d - 1 - 7 + 0*d. Let t be u(6). Find the first derivative of -t*n**3 + 0*n**3 - 1 + 2*n**3 wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3311603*a**2*p**3 - 16314194*a**2*p**2 wrt p.\nAnswer: -19869618*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 36 = -4*k, -4*x - 2*k + 48 = -4*k. Let h = 9 + -33. Let y = 44 + h. What is the least common multiple of y and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 2*t = 20. Suppose 32*j - 12 = 31*j. Let b be (6\/9)\/((-16)\/j). Sort b, t, -1 in descending order.\nAnswer: t, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -81 + -12 + 6 + 7 + (9 + 9 - 7)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 702174 (base 8) in base 4?\nAnswer: 320101330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -799*n**3 + 4057 wrt n.\nAnswer: -2397*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -871582 <= -871595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14*j*m**3 + 505*j*m**2 - 10*j*m + 23*m wrt m?\nAnswer: 84*j*m + 1010*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 16091 minus 0.079721155?\nAnswer: 16090.920278845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*g - 2 = -7*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5352 and 36.\nAnswer: 16056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 96722898 divided by -6.\nAnswer: -16120483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47952*j + 24164*j + 24055*j.\nAnswer: 267*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (308*m + 208 - 213 - 17*m)*(0 + 3 + 1 + (5 + 0 - 6)*(0 - 1 - 1))*(-6 + 1 + 3).\nAnswer: -3492*m + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 - 0. Suppose -2*s = -y*q + 26, -q - 5 - 6 = 5*s. Solve -3 - 9 = q*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 p, and 1 w when three letters picked without replacement from qpqpwwwwwpwwwwmmpqqm.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of -u**3\/6 + 5*u**2\/2 - 732*u. What is f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 102*r**4 + 11*r**2 - 11*r**2 + (r**4 + r**4 - 3*r**4)*(-5 + 1 + 2) - 366*r**3 - 32*r**4 + 366*r**3.\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 18 or -404?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17 + 0 + -13 + (6 - (2 - 8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 6292 + 5346. Let w(m) = -m**2 - 10*m - 12. Let u be w(-8). Suppose 35823 = l + 4*a + h, -119997 = -u*l + 3*a. Round l to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g + 4*j + 9756, -9*g + 4*j = -10*g + 4878. Suppose 5*k = -l + 4872, 5*k - 32*l - g = -36*l. List the prime factors of k.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -17854*y - 428619. Calculate v(-24).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1245*u**3 - 521*u**2 - 156076*u - 2.\nAnswer: -7470*u - 1042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 10002102 (base 3) to base 5\nAnswer: 33002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g + 4*b - 652, 8*g - 1605 = 3*g - 5*b. Let h(m) = 113*m - 1. Let s be h(2). Let n = g - s. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**3 - 7*p**2 + 3*p + 2. Suppose 5*b = 7*b + 16. Let m(d) = -2*d + 1. Calculate the remainder when j(b) is divided by m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -33.1 + -1413?\nAnswer: -1446.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 28356.2 to the nearest 100.\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 14*b**3 - b**2 + b + 1. Let q be m(2). Let j(o) = -203*o - o**2 + 1 + 103*o + q*o. Let c be j(10). Calculate the highest common factor of 22 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28801689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67 = 65*y - 76*y + 208. Solve 2*d = 6, 5*d = -y*w + 27*w + 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 3*j + 34. Determine m(-17).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -3*s + 15, 13*i - 15*i + 10 = 4*s. Find the second derivative of 71 + 10*c**i + 17*c**3 - c**3 - 17 - 4*c**5 - c - 3*c**3 wrt c.\nAnswer: 120*c**3 + 78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4965238 kilometers to meters.\nAnswer: 496.5238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9 + -3. Let q(f) = f**2 - f - 24. Let p be q(a). Solve p*w - 2*w = -16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 203\/2, 2\/5, -0.5 in decreasing order.\nAnswer: 203\/2, 2\/5, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 - 3)*(-11*a**4 - 10*a**2 + 10*a**2) - 115 + 115 + 3*a**4.\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -194893+-107760\nAnswer: -302653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 460 or 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the second derivative of l**5\/4 - 7*l**4\/6 + 121*l**3\/6 + 695*l. What is the second derivative of i(y) wrt y?\nAnswer: 30*y - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1018*k + 990*k = -364 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 17907 and 12643.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.28 take away 700?\nAnswer: -700.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/2*(-38)\/1064*14)\/(44\/(-16))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1022 (base 4) in base 2?\nAnswer: 1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4625351.\nAnswer: 1523, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00012115532 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 125352498 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -139, -528, -1171, -2068, -3219?\nAnswer: -4624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*4*(-4*((sqrt(475) + -1*sqrt(475))*1)**2 + sqrt(475) + (sqrt(475) + (sqrt(475) - (sqrt(475)*-1 - sqrt(475))) + 1)**2 + -1).\nAnswer: 180*sqrt(19) + 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 + -2. Let h = v - 1. Put 2, h, 0 in descending order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1248 - 554. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -298.24 - -298. Which is the closest to z? (a) 0.2 (b) 1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -3*s - 1. Find the second derivative of -2*j**4 + j**4 - j + 0*j**s wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 95*u - 6296 + 6526 = -5*x, x = -u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 752509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -12*o**2 - 14*o - 143. Give t(-3).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 45) + -4 + 25 + (-28 - -14).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (280\/(-32) + 8)*1196\/(-39)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20610 - 10828. List the prime factors of j.\nAnswer: 2, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 89*z**5 - 4*z**4 - z**3 + 38*z**2 + 179 wrt z.\nAnswer: 5340*z**2 - 96*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1271159*n**2 - 1271157*n**2 - 4*n + n + 26 to the form z*n + f*n**2 + l and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (23*96\/552)\/((-16)\/(-152))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -0*c + 15. Suppose -c*n = -43 - 57. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3026.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is ((-2)\/3*(-222)\/(-370))\/((-4)\/7371110) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o + 2*o - o)*(-o - 2*o + o) + (2*o - 18 + 18)*(-15038 + 183*o + 15038) + 2*o**2 + 0*o**2 - o**2.\nAnswer: 369*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 24663068191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3468)\/(-306) + 22\/6 + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 11*l**2 + 225*l - 3679. Let h be j(15). Is h greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the third derivative of -r**5\/60 - r**2. Let f(s) = -677*s**2 + 1361*s**2 - 683*s**2. Calculate 5*d(m) + 8*f(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4*(0 + 3\/4). What is the first derivative of 4 - 2*w**2 + 2*w**2 - a*w**2 + w**2 wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 55*g + 2. Let k(u) = 4*u - u + 3*u - 8*u. Calculate f(k(t)).\nAnswer: -110*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -49329, -104236, -159143, -214050, -268957, -323864?\nAnswer: -378771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/726 and -241\/498260070?\nAnswer: 5480860770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: ((10\/(-18))\/(4\/(-312)))\/(6260\/7512)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4 + 7)*2\/(-3). Let k be (0*(-4)\/(-8))\/(-7 - q). Is k at most 179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*v + 11*v - 9*v - v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 39\/473 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 AM and 1:26 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 19078, 19076, 19074, 19072?\n\"Answer: -2*p + 19080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 416016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 26, 3, -1, 92 in increasing order.\nAnswer: -1, 3, 26, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.32 - 1.68. Suppose 3*q - 5*f - 2 = 0, -8 = 4*q - 2*f - 20. Sort q, 3, r, -5\/2 in ascending order.\nAnswer: -5\/2, r, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.28883 + -0.17563. Round z to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 3 - 3)*(0*k + k - 6*k)*(6 + 0 - 2) + 2*k - k - 2*k in the form r*k + b and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the third derivative of t**4\/2 - 11*t**3\/6 + 3*t**2. Let p be j(-7). Let b = -46 - p. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**2 + 4. Let z be x(3). Let m be 1*(-2 + 0)*-2. Let b be (-10)\/3 + (-7)\/(-21). Put m, z, b in decreasing order.\nAnswer: m, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-40)\/(-14))\/5)\/(32\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = 5*w - 24 + 91, y + 3 = 0. Let o be 7\/(-2 - -1) - w. Which is the closest to -2? (a) -2\/19 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 16*a - 6. Let t be r(-5). Let u = -82 - t. Suppose 2 = -3*s - j + 38, 3*j = u*s - 61. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -14 + -31533?\nAnswer: -31551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 582412 divided by -145603?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 1) + 3 + -4 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:17 PM and 7:10 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 + 5*(-4)\/(-25))*40\/(-34).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 4*x + 4*x. Suppose -x*j + 6 = -24. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + y - 62, 0 = -r - 11*y + 12*y + 60. Let a(p) = 13*p + 24. Calculate the remainder when r is divided by a(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3\/7 - 464*r**2 - 884234*r\/7 + 378256476\/7.\nAnswer: -2*(r - 222)*(r + 923)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 + 9*a - 7. Let r be h(-9). Let z = r + 20. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-98)\/245)\/((-1)\/(-2)). What is the closest to 86 in 0.3, -0.3, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, -46\/195, 138?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -5574 less than -106462?\nAnswer: -100888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 3*c. Let m(r) = r**2 + 5*r + 2. Let q be m(-5). Let l(z) = -z + 6*z + q*z + 0*z. Calculate -2*l(i) + 5*s(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -212, -322, -432, -542, -652, -762?\n\"Answer: -110*o - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -5495171*m**2. Let d(c) = 3*c**2. Determine d(v(g)).\nAnswer: 90590712957723*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 690 and 1242?\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 17*t + 4. Suppose -129 + 649 = 13*f. What is the lowest common multiple of f and c(3)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(567) - ((sqrt(567)*2)**2 - sqrt(567))) + 6*sqrt(567)*-2.\nAnswer: -11340 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v - 336 = -3*n - 4*v, -5*n = 2*v - 560. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/((-1)\/(-2))*50\/(-20). Let x(h) = -h**3 - h**2. Let u(o) = 3*o**3 - o**2 - 6*o + 3. Let p(z) = u(z) + 2*x(z). Is p(f) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, k: 3, v: 4, c: 2, j: 2, a: 2}. What is prob of sequence jwj?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {d: 1, h: 6, i: 5, n: 4}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 24236.148 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*b + 11*b - 5*b - 863.\nAnswer: b - 863","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence of when two letters picked without replacement from wwuwuuuwhuoufwu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.044326 rounded to three decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 33, 29, 25, 21, 17, 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (10*(-6 + 5))\/(-2). What is the greatest common factor of q and 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*a - 2*a = -7*a - 2*w - 56, -22*a - 5*w = -481 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.006 times -11284?\nAnswer: 67.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.289 + 0.419. Which is the biggest value? (a) -1 (b) z (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1*6\/1)\/((-4)\/(-6))*-1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 13381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1161 divided by 739\nAnswer: -1161\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 10680, 20303, 29922, 39537?\n\"Answer: -2*o**2 + 9629*o + 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-6)*c**3\/c*c**(2\/5)*c**(1\/4)*c**(2\/3)*c*c**2*c**3*c**(-1\/3) assuming c is positive.\nAnswer: c**(179\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -594562 + 594562 + 6*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7488 and 857988?\nAnswer: 178461504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vnenc. Give prob of picking 1 n, 1 c, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 84801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 + 3)*(-19*g + 5*g + 33*g)*(g**4 + 4*g**4 - 3*g**4).\nAnswer: 38*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3311.67 + -3313. Round j to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (-4 - -1) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 0.2 less than or equal to 1.371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 4 + sqrt(832)*-2*1 + 4*(sqrt(832)*-2 - sqrt(832)) + -4 + -3 + -3)**2.\nAnswer: 1120*sqrt(13) + 163097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -66, -255, -566, -993, -1530, -2171, -2910, -3741?\n\"Answer: y**3 - 67*y**2 + 5*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 225 - -50. Let p = -275.0123 + n. What is p rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2476965*c**5 - 1719544*c**2?\nAnswer: -148617900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (-3 + ((1*(-1 + sqrt(245)) + 1)*-3)**2)*-1)*1.\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**3 - 84*b**2 + 4007*b - 734. Calculate w(-118).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2))**45\/((r**2\/r)\/r)**(-27) assuming r is positive.\nAnswer: r**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 130 = -2*w + 7*w. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*r - r - 2*r)*(3 - 1 + 0)*(-r**3 + 5*r**3 - 3*r**3) + (-r**3 + r**3 + 2*r**3)*(19*r + 0*r - 7*r).\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (25 - 33 + 7 + (1 - 4 + 1)*(2 - 2 - 2) + 5 - 2 - 1 - 2 - 2 + 6)*(-58*t + 24*t + 27*t)*(-3 - 2 + 4).\nAnswer: 49*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*f, 0 - 8 = -m + 5*f. Let z(b) = 13 - 26*b**2 + 24*b**2 - 12 + 8*b. Let w be z(m). Solve -w*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l**4\/6 - 1471*l**3\/6 - 51107*l**2\/3 - 10192*l\/3 = 0 for l.\nAnswer: -182, -112, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*c**2 - 2*c**2 + 2*c**3 + (0 - c**2 + 0)*(-c + 3*c - c) + (-27*c**2 - 9*c**2 - 32*c**2)*(0*c - 2*c + 0*c).\nAnswer: 137*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwggwggwggwg. What is prob of picking 1 g and 3 w?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1.1, -12, -2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -15 - -20. Suppose -m*u - 1 = -11. Determine q so that -q**3 + 2*q**2 + 0*q**3 + 9 - 7*q**u + 0*q**3 - 3*q = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 - -2257500?\nAnswer: 2257492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 766503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q + 21*h - 22*h = 5, 0 = 4*q + 2*h - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 0 equal to 8\/11020261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 309.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -40*b - 159. Calculate the lowest common multiple of 2 and z(-18).\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 164963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8484182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**2 + 2*f - 2. Let z(q) = 614*q**2 - 614*q + 614. Calculate 1535*r(n) + 5*z(n).\nAnswer: 1535*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, u: 1, h: 6, d: 2, a: 2, y: 4}. Give prob of picking 1 p, 2 y, and 1 u.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m + 3*m - 4*m)*(26*m - 386*m + 57*m)*(-m - m + 3*m) + (2*m - 2*m + 2*m**2)*(4*m - 4*m + 3*m)*(0 - 1 + 0).\nAnswer: 1206*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 4 + 2)*(-u + 4*u - 2*u) - 97 - u + 141 - 82 to the form b + l*u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*l**4 - 6*l**2 + l - 212?\nAnswer: -24*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -15*g + 2. Let q(k) = 7*k - 1. Let h(n) = 4*n - 3 - 7*n + 5*n + 0*n. Let o = -19 + 27. Let m be h(o). Determine m*q(a) + 6*z(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wtww when four letters picked without replacement from twwwswwtts?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -36 (base 7) to base 5\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 1 - 2 = j, -g + 7 = 5*j. Factor 2 - 2*f**3 + 2*f**4 - 5*f**5 + 4*f**5 + g*f**5 + f - 4*f**2.\nAnswer: (f - 1)**2*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -14, 10, 40, 76, 118, 166, 220?\n\"Answer: 3*k**2 + 15*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:59 AM and 10:45 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.898729 nanometers in kilometers?\nAnswer: 0.000000000000898729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:36 AM and 12:16 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 1.805 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 - (-1 + 10 - (5 - -16 - 12))) + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + -1010101100000101010100?\nAnswer: -1010101100000101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -9548653 (b) 1 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 5*l + 36 = 0, -2*o + 4*l = -o - 33. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 24 = 2*m. Let f = 9 + m. Let z(c) = 10*c**2 + 1. Is z(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (54*k**2 - 2 - 84*k**2 + 1)*(3*k**3 + 0 + 0).\nAnswer: -90*k**5 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -559*w + 1304. Give t(2).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 163\/22 - 54\/11. Let m = -39 - -25. What is the third smallest value in m, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -2*v + 4*f, 4*v + 4 = 4*f - 4. Suppose -3*i = 2*i + 5*c - 15, -v*i - 4*c = -8. Suppose -m = 2*m + i*y - 34, -4 = -4*y. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/63 greater than or equal to -290\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 11059 less than 289471?\nAnswer: 278412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -7. Let x be (4012\/(-354))\/(4\/6). Which is the fourth smallest value? (a) x (b) 3 (c) 2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53271.9 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 41 - 36. Solve 2*i + y = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4196412 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1816.8889 + -1817. Let g = -0.1110513 - s. What is g rounded to 6 decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 132 - 131.98291. Round m to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f be ((-9)\/((-18)\/6))\/((-12)\/37184). What is the hundreds digit of f\/(-40) - 4\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 6 = -3*v, 3*v = -y - 0*v - 9. Let f(u) = 2 + 2*u + 4 - 5 - y. Let w be f(4). Let q(k) = -k**2 + 6*k - 5. Calculate q(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1390782, -1390792, -1390802, -1390812, -1390822, -1390832?\nAnswer: -1390842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 6:44 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 76*d - 74*d + 2*q = 5 - 17, -3*q + 106 = -28*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.006 times 873521\nAnswer: 5241.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -7942, -8295, -9246, -11089, -14118, -18627, -24910?\n\"Answer: -49*q**3 - 5*q**2 + 5*q - 7893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -385.8 - -373. Round p to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 1\/870575249?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -2*b**2 + 24*b - 18. Let v be p(10). Suppose -2*m + 39 = 3*c, m + 23*c - v*c = 19. Solve 0 = 3*g + 3*h - 18, -4*g + 2*g + 4*h = m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -2*b - z + 1, 2*b = -2*z + 4. Solve b = -4*r - 3*q + 5, 9*r - 4*r = -q + 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -8*c**3 + 5*c**2 + 3*c. Let n(p) = -3*p**3 + 2*p**2 + p. Give -11*n(h) + 4*t(h).\nAnswer: h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 30972 and 2784?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60989 is divided by 4062.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 64.04183um in millimeters?\nAnswer: 0.06404183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 17504911139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 PM and 12:26 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*k - k - 5*k)*(-k**2 + 2*k**2 + 0*k**2) - 3*k**3 + 4*k**3 - 2*k**3 + 3*k**3 + 7*k**3 - 4*k**3 + (3*k**2 - k**2 + 0*k**2)*(-4*k + k + 5*k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 46*r - 232. What is t(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 5, -4, -0.165002, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1056260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 155252\/119 greater than 1304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000900449 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = k**2 - 5*k + 6. Let a = 9 - -7. Calculate the remainder when a is divided by t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 7 (b) -0.59 (c) -2 (d) -607 (e) -0.1 (f) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -81\/8 and 22 + 0\/5 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1845406 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2411104.1 rounded to the nearest one thousand?\nAnswer: -2411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 + 47 + 19)*(-4*p + 6*p - 3*p).\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 330140 and 12410?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11 and 1375.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63889 is divided by 519?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -0.5, -1.1, -469.\nAnswer: -469, -1.1, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 587006?\nAnswer: 2, 7, 23, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mitm when four letters picked without replacement from {t: 3, k: 1, m: 3, v: 3, i: 2, w: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 76484 - 76484 + 895*l**3.\nAnswer: 895*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 997*p = 3355 - 28280 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 744444 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kncm when four letters picked without replacement from {c: 1, k: 2, m: 4, n: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/(-21)*-7 - (12 + 0). Let z be (-56 + a)\/(-1*2). Find the second derivative of 16*k - 48*k + 13*k**4 - z*k**4 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -168, -165, -152, -123, -72, 7?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 4*a - 13. Let f be g(6). What is the derivative of 5*z**3 - f + 28 - 9 wrt z?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 41*r + 40. Let k(c) = 19*c + 20. Let x(o) = 13*k(o) - 6*w(o). Let i be x(-4). Solve 19 = -3*a + 4*s, -6*a - 5*s + i = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 30607014 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: c (base 16) to base 7\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -2*r**2\/9 + 112492*r\/9 - 36686000\/3 = 0.\nAnswer: 996, 55250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l**3 - 102*l**2 + 366*l + 500. What is d(47)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/5? (a) -0.4 (b) -51 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 217 a factor of 32997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 1819*r**3 + 4*r**2 - 7*r + 116. Let t(o) = -1817*o**3 - 6*o**2 + 10*o - 116. Let a(i) = 3*f(i) + 2*t(i). Find the second derivative of a(n) wrt n.\nAnswer: 10938*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -466, -17\/7, -4, 4?\nAnswer: -466","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of r**7\/630 + r**6\/90 + r**5\/36 + r**4\/36 - 11*r**2. Factor l(x).\nAnswer: x*(x + 1)**2*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0*(1 - (1 + -1)). Suppose -l + 5*l - 2*d - 644 = 0, -2*l + 3*d + 326 = v. Suppose 0 = 4*g + u - l, -3*g + 0*g = 4*u - 120. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -871032 by -6.\nAnswer: 145172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1923795 (base 10) to base 6\nAnswer: 105122243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2442, 3643, 4830, 5997, 7138, 8247?\n\"Answer: -x**3 - x**2 + 1211*x + 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*f - 2*f - 91. Let y(z) = -z**3 + 12*z**2 + 16*z + 7. Give y(f).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b**4 + 360*b**3 - 8520*b**2 - 38240*b - 39600 = 0. Calculate b.\nAnswer: -90, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the third derivative of 3*l**5\/5 - l**4\/24 - 31*l**3\/6 - 17*l**2. Find the second derivative of f(b) wrt b.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.408 - -0.008. Sort -3, 28, -1, k.\nAnswer: -3, -1, k, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42 and 1246?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1508, 1510, 1514, 1520, 1528, 1538?\n\"Answer: k**2 - k + 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16563, 30847, 45133, 59421, 73711, 88003?\nAnswer: 102297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-42)\/24 + (-1 - -3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w**2\/4 - 1553*w\/2 + 97247\/4 = 0. Calculate w.\nAnswer: -3137, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuuuuuuuuujuuuuuuuuu. What is prob of sequence juu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 1 n, and 1 l when three letters picked without replacement from {i: 4, p: 1, z: 1, n: 3, q: 2, l: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -134291*m + 122090*m - 3 + 3 to a*m + z and give a.\nAnswer: -12201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 3)*(3*y - 5*y + 5*y) + 49 + 40*y - 49 - 2*y + 3*y - 2*y.\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 35 - 35.02. Let l = 0.32 + r. Which is the closest to 0.6? (a) l (b) -0.3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1983 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 7099223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**3 - 8*t**2 + 6*t - 8. Calculate the remainder when 54 is divided by c(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 3698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17 + -15. Let v(p) = -2*p**w + 0*p + 2*p**3 + 0*p**3 - p. Let z be v(2). What is the greatest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19203223 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-4)\/(5\/((-60)\/1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -238, -465, -706, -967, -1254, -1573, -1930?\n\"Answer: -k**3 - k**2 - 217*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -11*f**3 - 3*f**2 + f + 2. Let z be l(-2). Calculate the highest common divisor of z and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -393 divided by 4724.\nAnswer: -393\/4724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 499 + -474. Suppose -24*o = -i*o + d + 44, 3*o - 2*d - 132 = 0. Calculate the remainder when 150 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 - 1. Suppose 3*y - y + 5*x - 193 = 0, 0 = 4*y + z*x - 378. Suppose -4*d - 10 = -y. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -25, -31, -37, -43?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 h when four letters picked without replacement from whhhhhhwhhhhwh?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 3*l**4 - 39*l**2 - 36*l = 0. Calculate l.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2751660*m**2 - 2280956 wrt m.\nAnswer: -5503320*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00083 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13096?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 628348936 to the power of 1\/2, to the nearest integer?\nAnswer: 25067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (1\/91)\/(17\/34)*7\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 333341035 to the nearest integer?\nAnswer: 18258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vrdd when four letters picked without replacement from {d: 5, r: 1, v: 11}?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.03 or 5\/28?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7\/4*h**4 + 53\/8*h**3 + 9\/2*h + 1\/8*h**5 - 19\/2*h**2 + 0 = 0. Calculate h.\nAnswer: 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.405906ml in litres?\nAnswer: 0.006405906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {c: 11, p: 5}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -334 and -36.\nAnswer: 12024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 641*n - 73609 = -637*n, 4*w + n - 58862 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*y - 1 - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -31 + n - 27 - 156*n**2 + 2*n + 63 - 2*n in the form r*n + w + s*n**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4.025 + 15.953. Let b = -20 + z. Round b to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -35*f**2 - 3*f + 2. What is c(1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3, -16, -31, -42, -43?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 3, a: 4}. Give prob of sequence aahh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-14 + 55 - 18) + -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 126, 258, 388, 516, 642, 766, 888?\n\"Answer: -v**2 + 135*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-630)\/(-140))\/(11\/6 + 6\/(-18)). Solve 4*m + 9 = t, 3*t + a*m + 15 = m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 207441.\nAnswer: 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(-3) + 29\/3. Let v(o) = 7*o**2 + 2*o + 5. Suppose -84*b - 464 = -800. Let f(a) = -15*a**2 - 5*a - 11. What is b*f(w) + d*v(w)?\nAnswer: 3*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 0*s - 10 = 0. Let l(j) be the first derivative of j**5\/15 + j**4\/8 + j**3\/3 + j**2 + 42. Let b(d) be the second derivative of l(d). What is b(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-8)\/(-3)*45\/(-30). Is -4 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**2. Let s(f) be the second derivative of -f**3\/2 + 18*f**2 + 4*f - 224. Give m(s(j)).\nAnswer: -9*j**2 + 216*j - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 6*p**4 + 0*p**2 + 5*p**4 - 3*p**2 in the form r*p**4 + c*p**3 + j*p**2 + l*p + x and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*z - 142*z + 139*z = 1344 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16287623 + 57013327. Let o = m + -40725705.80000088. Let r = o + 1.8. Round r to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from pzdzzpppzhjzz?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - 10000111?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-45)\/(-54))\/(5 - 145\/150*5). Let i be 0\/(-1) + (-2 - -4). Solve 5*y - 11 = -5*h + i*h, -h - 3 = -j*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 18208\/217 + -583\/7. Let g = 6\/31 - h. Let u = -0.105 - 2.895. What is the third biggest value in g, u, 0.11, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 + 12 = f. Suppose 3*z = -4*w - 5, z - 2*w - 25 = -2*z. Determine l so that -5*l**f + 4*l**2 + l**5 + 4*l**4 + 0*l**z - 2*l**2 - 2*l**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -774*t + 2927535 = -759*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 46*u - 157. Let n(v) = 51*v - 158. Let c(t) = 5*i(t) - 4*n(t). Differentiate c(d) with respect to d.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xph when three letters picked without replacement from hhqhhhxpeyppe.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -289 - -465. Let a = -56 + w. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 - 11 = -4*r - a, -4*a - 26 = -5*r. Calculate the highest common factor of 1380 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*85.\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -3*m - 36, -2*v = -6*v - m + 38. Let c(z) = 59*z**3 + 4 + 11*z**3 - 9*z**3 - 5. Let y be c(1). Calculate the highest common factor of y and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 44 - 66. Let d = 23 + l. Factor 9*f**2 + 1 - 5*f - 2*f**2 - 4 + d.\nAnswer: (f - 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 9.663314 millilitres?\nAnswer: 0.009663314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 117 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54503 is divided by 580?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-20)\/10*(-6)\/4. Solve z*q - 1 = -5*g, 5*g + 5*q = -0*g - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 147, 1153, 3877, 9177, 17911, 30937?\n\"Answer: 143*w**3 + w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001192 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -o**3 + 3*o**3 - 10 - 13 - o**2 + 6*o + 24 as h*o + s + z*o**3 + a*o**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 4889.02 millilitres to litres.\nAnswer: 4.88902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 750 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*b - 40*b = -5*k + 131, -5*b + 260 = -k. What is the remainder when 90 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 575 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (o**2 - 1 + 2 - 2*o**2)*(-o**2 + 2*o**2 + 2*o**2).\nAnswer: -3*o**4 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6436.\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + 2 + 0 + 0 + 7. Let u(n) = -n**2 + 3*n - 1. Let r be u(2). Which is bigger: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 2 = 0, 2*y = 4*o + 248 - 42. Sort -5, 7, y.\nAnswer: -5, 7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00006604 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -5*z - 25, 19 + 31 = 4*k + 2*z. Solve f - 2*o - k = -7*o, -4*o = -4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u + u. Suppose -5*v + u*v = -25. Suppose 0 = v*i - 14 - 6. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 909678941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1075.9113 months?\nAnswer: 8.9659275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 1.228143089 to three decimal places.\nAnswer: 1.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkkiik. What is prob of picking 2 k and 2 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5835*j**4 + 42*j**2 - 10*j?\nAnswer: -140040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 311 - 200. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.12889 from -0.4.\nAnswer: -0.27111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2. Let l(s) = 15023*s. Give n(l(b)).\nAnswer: 225690529*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v**(2\/3)*v\/v**(-21)*v assuming v is positive.\nAnswer: v**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2.23? (a) -6 (b) 181 (c) 1.8 (d) 5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*t + 13*t. Solve t = 3*i - 9 - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-99)\/54*24\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 28 = -2*g, 5*p - 42 - 11 = 2*g. Let s be (p + 115\/(-10))\/(-10). Factor 16 + s*y**2 + 4*y.\nAnswer: (y + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**15*y\/((y\/(y\/y**12))\/y))\/((y\/y**(1\/7))\/y**4) assuming y is positive.\nAnswer: y**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 30372425*n + 14871003 with respect to n.\nAnswer: 30372425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**3 - 250*y**2 + 5862*y - 15390.\nAnswer: 2*(y - 95)*(y - 27)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27872.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 21 - -8. Suppose -5*c + 7*h + 85 = 3*h, 3*c - p = -2*h. Let a = 56 + c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*b - 119 + 1239 = 0 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 663 + -258. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -8*c**2 + 24*c - 65. Give l(3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 10165709 a multiple of 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8967, -8969, -8971, -8973, -8975?\nAnswer: -8977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1528 + 1528.00103. What is d rounded to five decimal places?\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -443*o**4 - 324?\nAnswer: -1772*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 79 take away -7?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (3 + 16 + (3 - 11))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -44*u. Let s(v) be the second derivative of 44*v + 0*v**2 + 0 + 1\/2*v**3. What is s(d(z))?\nAnswer: -132*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 958.3 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*b**2 - 2 + 13*b**2 + 2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddvafxv. What is prob of picking 1 x and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -136, -119, -70, 29, 196, 449?\n\"Answer: 3*q**3 - 2*q**2 + 2*q - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.06? (a) 1 (b) -0.0054 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2685 = x - w, 0*x - 3*x - w = -8039. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 25*c*s*x + c*s + 2*c*x - 24*c - s*x + 5 wrt s?\nAnswer: 25*c*x + c - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/88*-54 + (-6)\/(-33))*(-592)\/40404.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 3 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 1 + 1623 + 0\/(-91)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -377 or 2?\nAnswer: -377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 + -10. Let h(m) = -m**3 - 4*m**2 + 6*m + 2. Let o be h(j). Is o at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-1\/9)*g**(-7))\/(g**6)**(-22) assuming g is positive.\nAnswer: g**(1124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.12? (a) 20\/23 (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -20 + 72. Suppose -4*b - 68 = 5*y - 0, 2*b + c = -4*y. Calculate the common denominator of (-2)\/y + 1316\/(-120) and -121\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -98553*i**5 - 5*i**4 + i**2 + i - 696309.\nAnswer: -1971060*i**3 - 60*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 153 - 319. Let o = h + 242. Find the common denominator of 7\/34 and (-19)\/o + 1 + 211\/20.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.05425 (b) 21 (c) 1\/445\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-165)\/(-6) - (-1)\/2. Let a = 73 - b. Suppose 2*x = -2*x + 8, 3*t + x = 47. What is the greatest common factor of t and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -4*l - 12. Calculate the least common multiple of u(-4) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (140\/84)\/((-2)\/(-12)). Calculate the greatest common factor of z and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*u**3 - 5916*u**2 + 265004*u - 1908756.\nAnswer: 4*(u - 1433)*(u - 37)*(u - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = q - 359*m + 360*m, -q - 7 = -m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cmf when three letters picked without replacement from ffccccmcccmymf?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 52\/273*7\/(-6) - (-13)\/(35568\/392)\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (596\/10)\/((-1)\/(-5)). Suppose -2*o = -0 - h. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 141 - 129. Calculate the remainder when 40 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1132 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**2 + 2*k - 1. Suppose h + 4*q = -6, -2*h - 2*q + 12 = h. Suppose -7*b - 8 = h. Determine i(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*1\/(-2)*14. What is the remainder when 30 is divided by -3 - 0 - (i + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 2 k, and 1 g when four letters picked without replacement from xkxkg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 8*h**3 - 200*h**2 + 21*h - 530. Determine x(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -11*c + 1 + 5 - 4 as o*c + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 5 + (13 - (1 + -3)) + -9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*h**4 - 1\/4*h + 0 + 0*h**2 - 1\/4*h**5 + 1\/2*h**3 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -21 + (-240)\/10 + 18.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the first derivative of v**3\/3 - 2*v + 3. Let a be o(2). Let m = -185\/3 - -61. What is the closest to a in m, -1, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2448280244?\nAnswer: 2, 1033, 592517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) - 6*sqrt(11)*1) + -5 + (sqrt(99)\/((sqrt(108) + 1*sqrt(108) + sqrt(108))\/sqrt(12)))**2.\nAnswer: -5*sqrt(11) - 34\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1 + 158 + (7 - 9\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 3*r = 35, 3*y + 0*r = -2*r + 21. Let z be (3\/3)\/((-21)\/(0 - 63)). Solve 2*u = -z - y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-48)\/14 + -12)*560\/(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-23))**(-22\/5)*(t**13*t)\/(t\/(t\/(t\/(t*(t*(t\/(t**(1\/27)*t))\/t)\/t)))) assuming t is positive.\nAnswer: t**(15412\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -l**3 - l - 34 - 25 - 20 + 0*l**3 + 2*l**4 + 61 as y*l**3 + c*l**2 + r + u*l + m*l**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3.895 + -0.105. What is the nearest to 3\/8 in -5, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -19) + 758 + -788.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 3048 by 348703.\nAnswer: 3048\/348703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 148 = 7. Let u = -70 + 163. Calculate the highest common divisor of b and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -4996*s - 40. Let j be q(10). What is j rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*3129\nAnswer: -3129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -5*u + 4*u. Let i be (-15)\/2*u\/6. Let p = 8 - i. What is the greatest common factor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -39*p**3. Calculate r(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = f - 4*f. Suppose -2*y + 3*t + 27 = 2*y, t + f = y. Solve 2*b + y + 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6, 33, 96, 213, 402, 681?\nAnswer: 1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 795*m**2*r - 2247*m**2 wrt r.\nAnswer: 795*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 + 209972.22?\nAnswer: 209972.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -39219, -39212, -39205, -39198?\n\"Answer: 7*l - 39226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*q - 54 = -2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (q - 3*q + 5*q)*(-2*q**2 + 2*q**2 - 2*q**2) - 37*q**3 - 43*q**3 + 66*q**3 + 2*q**2 - 2*q**2 - 2*q**3.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -240 = 24*r - 28*r. Let q = -55 + r. Suppose -q*z + 3*g = -0*z - 544, 5*g + 122 = z. Does 53 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-5)\/3 + 3)*18*-1. Let b be (2\/(-6))\/(2\/l). Solve 2*y - 4 = b*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 105122*q**3 + 56 - 29 - 1477*q**3 - 27.\nAnswer: 103645*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -22756*o - 68276. Give z(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7673 divided by 246.\nAnswer: 7673\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1786 and 15488.\nAnswer: 13830784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-1 + 5 + sqrt(1152)*-1)*-5)**2.\nAnswer: -4800*sqrt(2) + 29200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 18, 421, 764, 1017, 1150, 1133, 936?\n\"Answer: -5*m**3 + 438*m - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n**3\/n))\/n*n*n**16\/n*n assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -2964252 divided by -8\nAnswer: 741063\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k - 10*k = 0. Let f(l) be the third derivative of -1\/80*l**6 + 2*l**2 - 1\/240*l**5 - 3\/280*l**7 + 0 - 1\/336*l**8 + 0*l**3 + 0*l**4 + k*l. Factor f(h).\nAnswer: -h**2*(h + 1)**2*(4*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*v - 78 = 48. Let t(z) = 7*z - 39. Give t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -23946 and -0.3.\nAnswer: -23946.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 19509336 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 8, b: 4, q: 1, w: 2}. What is prob of sequence rrr?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, n: 2, h: 4, v: 3}. What is prob of picking 1 v, 1 m, and 2 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose b**2\/5 + 714*b\/5 - 1448 = 0. Calculate b.\nAnswer: -724, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -d**5\/8 - 2*d**4 + 37*d**3\/4 - 29*d**2\/2 + 79*d\/8 - 5\/2 = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 317459331 and 6755?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 28*41 - ((-9)\/(-1) + -6). Let y = 1153 - d. Let h be 15\/(3\/2 + 0). Solve y = 2*j + h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 193688029?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 1328.799 to zero decimal places.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 359*m + 1378 + 3289 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 625, 616, 603, 586, 565?\n\"Answer: -2*s**2 - 3*s + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1291556 or -1291565?\nAnswer: -1291565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 - -4. What is the third biggest value in 1\/3, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -293*b - 69 wrt b.\nAnswer: -293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -94593572 + 88.\nAnswer: -94593484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 5*d**2 - 2*d. Let m be (2 - 60\/16) + (-9)\/(-12). Calculate w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {m: 7, l: 3, h: 8}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -147 - 0?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -5*i + 12. Suppose -i*f = -3*f - 2. Find the third derivative of -3*c**2 + c**2 - 3*c**3 - 3*c**2 + f*c**2 wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2\/133 - 139\/399. Let x(y) = -y**3 - 2*y**2 + 7*y + 12. Let t be x(3). Which is the third smallest value? (a) 2\/17 (b) -1 (c) q (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -262.58 and 0.016.\nAnswer: -262.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(5\/11)\/(z*z*z**(1\/12)*z) assuming z is positive.\nAnswer: z**(-347\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-9) + 269886\/837. Let u be (-1)\/4 - (-185)\/4. What is the highest common divisor of x and u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times 0.10929?\nAnswer: -0.54645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-26)\/(-9) - 2) + 0 + -1. Sort -2, -3\/8, g in increasing order.\nAnswer: -2, -3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15467.15 rounded to the nearest 100?\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that l**2 + 0 + 1\/2*l**4 - 3\/2*l**3 + 0*l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**0)**(-1\/4)*(l*l**(2\/7))\/(l**7*l))**(2\/125) assuming l is positive.\nAnswer: l**(-39\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1045351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be (24\/18 - 4)\/(4\/(-54)). Find the second derivative of 32 + 4 + 77*t - a + 26*t**4 wrt t.\nAnswer: 312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 3*v**3 - 47*v**2 + 77*v - 21. Give p(14).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 284816.3mm in micrometers?\nAnswer: 284816300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/168981 and 46\/27?\nAnswer: 1520829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17, 6, 45, 100, 171, 258, 361?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/3*12\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/4, 0.3, -0.02, -3093?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = 3*d - 3. Let f(c) = d - c**3 - 3 - 3 + c + 7*c**2. What is the least common multiple of f(7) and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 2, 8, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5388780406?\nAnswer: 2, 29, 31, 53, 193, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15275 + 15376 - (-1 + 207)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 12 = -2*q + 16, 0 = 5*q + 2*h - 72. Let t(w) = -w**2 + 15*w + 21. Let i be t(q). Solve 8*b - 2*v = 3*b - 21, -b - 18 = -i*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 2*j**2 - 115*j + 6179. Is n(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 7*n = -64. Let r = n - -18. Sort -3, r, -4 in decreasing order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 134 + 149 = -5*l, -179 = -2*x - 5*l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:20 PM and 8:53 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5642 is divided by 1738?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*y + 8560 + 183660 = 0. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2, 0.3, -1, -36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -55.015 - -55. What is y rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 5*z**3 - 3*z**2 - 2*z. Let s(i) = i**2 + i - i**2 + i**2 - 2*i**3. Let c(u) = 3*f(u) + 7*s(u). Solve c(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:09 AM and 6:21 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -34.43 + 34. Let g = d + 0.62. Let o = g - 0.49. What is the closest to -3\/5 in 2, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -255183*m*u**3 + 29*m*u**2 + 50972*m*u + 38*m wrt u?\nAnswer: -1531098*m*u + 58*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuuuuu. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v**2\/4 - 10311*v\/4 - 515295\/2 = 0. What is v?\nAnswer: -99, 10410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be 7 - ((-2 - 2) + 2). Let c be 48\/27 - (-2)\/g. Suppose -6*s + 2*s = -28. Solve s = c*w + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fourty-seven quarters of a century?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b - 1. Let y be g(3). Let a(v) = -3*v - 3*v + v**3 + 30*v + 5*v - 11*v**2 + 6. Let p be a(5). Solve p = 3*s - y*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(28)\/(1*sqrt(4)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -78, -309, -694, -1233, -1926?\n\"Answer: -77*a**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 16869240 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0.01 + 7094860.146\nAnswer: 7094860.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -196 + 533. List the prime factors of h.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 34504830 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15, -6, 5, 18, 33, 50, 69?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6566 + 6570. What is the second biggest value in -1.1, i, 41?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19 - -23. What is the biggest value in 1, 1\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 2*o - 9741675 - 8258321 = 0, 5*m - 22500008 = 4*o. Round m to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6 or 379.3694?\nAnswer: 379.3694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 0.026, -4, 5, 4, 0.042, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 3483240 divided by -580540\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 3\/5 (c) 1\/2 (d) -247\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is (-45869 + 1)*2\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 745 = -8*o + 13*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*d**4 + 3*d**4 + 0*d**4)*(-41*d + 3 + 73*d - 41*d).\nAnswer: 9*d**5 - 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.1 - -0.2. Let g = 9 - 8.5. Let u be (-30)\/12 - 2\/(-4). What is the third biggest value in g, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 998 - 2567?\nAnswer: -178b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes before 1:58 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 581 and 296632.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64782 is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**3 - 6*f**2 - 6*f + 8. Let j be r(-4). Suppose -4*i + 480 = -5*b, j = -22*i + 18*i - 3*b + 480. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the third derivative of d**4\/12 - d**3\/6 + 2*d**2 - 16*d. Calculate x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide 237690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -339675\/46 + 7384. Find the common denominator of f and -45\/1012.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 - 9*x - 11. List the prime factors of l(14).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 459 a factor of 311776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(405) - (sqrt(405) - (sqrt(405) + -1*sqrt(405)))*-5)\/((sqrt(81) - sqrt(9))*-6))\/((sqrt(72) - 1*sqrt(72))\/sqrt(8) + -3*(sqrt(81) + sqrt(9))).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -7433, -11, -5, 12, 3 in decreasing order.\nAnswer: 12, 3, -5, -11, -7433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -19 (base 10) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 0*x + 30. Let b be 5*(0 - x\/15). Suppose 4*v + 32 = b*r, 8*r + 2*v = 3*r + 68. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 103665.\nAnswer: 3, 5, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 18 times -838904?\nAnswer: -15100272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 2 = -2*z - 0, -4*z + 2*k = 20. Suppose 0 = 2*s - 9 - 1. Suppose -3*c - 10 = -2*n, -6 = 4*n + s*c + 18. Sort n, 0, z.\nAnswer: z, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 94159659 to the nearest integer?\nAnswer: 9704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = 4*t, t = 10*g - 9*g - 4. What is the third smallest value in 9, 1\/2, -2\/7, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c = -12*c - 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 5*u = -109, 2*p - 37 = -u - 0*u. Calculate the highest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1567, 1536, 1505, 1474, 1443?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -271*v + 70600 - 65451 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 186 = -2*l, -3*q - 480 = -5*l - q. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**0\/(b*b\/(b*b*b*b**3)))\/(b**2)**(-14))**(6\/25) assuming b is positive.\nAnswer: b**(192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {z: 8, e: 2, c: 4, j: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -69305 divided by -5?\nAnswer: 13861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 56 + -22. Suppose 4*f = 4*a + 14 + z, 0 = a. Suppose -4*m - 20 = -2*r, 5*r - m + 5*m = 36. What is the greatest common factor of f and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -684*w - 4. Let j(c) = -171*c - 1. Let y(l) = 9*j(l) - 2*k(l). Let v(u) = u**2 + 8*u + 13. Let g be v(-5). Is y(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (84\/24)\/(1\/6). Let q(r) = 39*r + g*r - 51*r + 4 + r**2. Determine q(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/209 and 14\/120589029.\nAnswer: 120589029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 - 2*b**2 + b - 1. Let q(y) = 2*y**2. Let d(g) = -2*h(g) - 3*q(g). Let n(j) = 4*j**3 - 5*j**2 - 5*j + 5. What is -5*d(x) + 2*n(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2778274*1\nAnswer: 2778274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1431280 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Put 223, 1, -2 in ascending order.\nAnswer: -2, 1, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*((-145)\/(-15) + -20)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.1 (c) 0.27 (d) 1\/2 (e) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12 + 12. Solve 0 = -y*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 8 = 4*j, 0 = 5*j - 5*x + 1 - 11. Let n = 0.00535 - 0.40535. Which is the second biggest value? (a) j (b) n (c) 3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w = -3*x + 31, x - 10*w - 11 = -12*w for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/3*40\/(-1720)*-129.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**8)**(-21\/2)\/(j\/(j*j*j*j**(-10\/9)\/j))**(-26) assuming j is positive.\nAnswer: j**(-730\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(-6)\/x)\/x)\/x)\/(x**(4\/7)*x)*x**0\/x*x**(-2\/5)*(x*x\/((x**(-5)\/x)\/x*x))\/(x*x**(-2\/9)\/x*x)*(x**0)**(1\/25) assuming x is positive.\nAnswer: x**(-1496\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 656 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*w**4 - 6*w**3 + 117 wrt w?\nAnswer: 12*w**3 - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:57 AM and 11:15 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1858085, 1858068, 1858051, 1858034?\nAnswer: 1858017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j**(-20)*j*j))\/((j*j**(-38))\/j) assuming j is positive.\nAnswer: j**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 12011211 (base 4) in base 16?\nAnswer: 6165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -28.5 - -29. What is the closest to 2 in g, 4, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -11*g - 73. Suppose c + 3*n + 6 = 2*n, 2*n = 2. Let r be w(c). Solve -f + 5*j = 28, -2*f = -r*j + j + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9678725 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = m - 35. Let o(l) = -27*l - 1. Calculate the remainder when o(-2) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the second derivative of 7*w**3\/2 - w**2 + 12*w. Let g be n(9). Suppose 3*k = k + x + 89, g = 4*k - 5*x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-12)\/(-8))\/(1\/(-4)). Let b(d) be the first derivative of d**4\/4 + 7*d**3\/3 + 7*d**2\/2 + 5*d - 112. Determine b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2 - 930*t - 216225.\nAnswer: -(t + 465)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 180432 and 448?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*b + 4*b = -28. Solve -k = -b, k = 5*u - k - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21957?\nAnswer: 3, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11256447*p + 11256392*p - 22512834*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 0*x - 6*x - 38 + 0*x. Let f be v(-8). Let h = -10 + f. What is the nearest to 3 in h, -4, -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange f**2 + 530*f**4 + 8*f**3 + 5 - 2*f**2 - 532*f**4 - 26*f + 27*f to the form y + r*f**2 + v*f**3 + q*f + t*f**4 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4181\/663 - 6\/221. Let a(v) = 3*v + 19. Let x be a(-8). Is z less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1692*r - 4915 = 1691*r. What are the prime factors of r?\nAnswer: 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -0.1, -40, -13?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 396414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -65*x**3 + 14*x**2 + 6*x + 307. Let z(o) = 2*o**2 + o + 1. Let u(r) = -s(r) + 6*z(r). Differentiate u(p) wrt p.\nAnswer: 195*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12378 + -11176. Calculate the smallest common multiple of c and 4.\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 106 = 41. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 85310 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 544, 1053, 1570, 2101, 2652, 3229, 3838, 4485?\n\"Answer: g**3 - 2*g**2 + 508*g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10518)\/627574*(-1)\/(-6)*4.\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 49489440 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b - 7. Let g(s) = s - 11. Let y be 55*1 + (7 - 9). Let f = 61 - y. Determine f*d(u) - 5*g(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 141037961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 54 + -53.5. Let u = 0.1 + -0.1. Let f = u - 0. What is the third smallest value in a, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 21324332013 - -1?\nAnswer: 21324332014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1596638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -25 and -1955.54?\nAnswer: 1930.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 10*t**2 + 14. Let l(s) = s**2. Determine w(l(x)).\nAnswer: 10*x**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 177414, -36, -5 in decreasing order.\nAnswer: 177414, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 8426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 70 + -49. Let c = r - 20.9999978. What is c rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -29 - -32. Calculate the remainder when g is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 21\/3200 and 27\/64.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 128501, 1028317, 3470683, 8226875, 16068169, 27765841, 44091167?\n\"Answer: 128546*f**3 - f**2 - 3*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -117 divided by -619128?\nAnswer: 13\/68792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -26 - 30. Let j = f - -50. Suppose 4 - 1 = -m. Sort m, j, 4 in descending order.\nAnswer: 4, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 20*l**3 - 35*l**3 + 2*l**4 + 1 + 17*l**3 + 2*l + (-1 - l + 1)*(-7*l**3 + 3*l**3 - 7*l**3) in the form y*l**3 + n*l**4 + t + z*l**2 + w*l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -31*n**4 - 12*n**2 + 48*n - 3*n**5 + 36 - 12*n**2 + 9*n**2 - 45*n**3 + 10*n**4 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -0*m. Let s be (-2 - 1)\/(165\/10). Which is the nearest to m? (a) -1.3 (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 336*w - 3326. Let i be y(10). Solve i*s = 41*s - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -181851.\nAnswer: -181854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 14 = -3*v, -2*r - v + 14 = -5*r. Let q = 3 + r. Let d = -2 - q. Are -1 and d unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -5\/3 (b) -13798 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i**5 + 422*i**4 - 853*i**3 - 4458*i**2 + 6264*i = 0. What is i?\nAnswer: -3, 0, 9\/7, 4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3790\/(-45) + (-8)\/(-36). Let v = c + 110. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 3*a**2 + 6*a + 4. Let b(s) be the second derivative of -s**5\/5 + s**4\/6 + s**3\/3 + s**2\/2 - 11*s. Let p be b(-1). What are the prime factors of i(p)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -68*y = -58*y + 140 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -13*p**2. Let z = -1011\/5 - -3038\/15. Let a(n) be the first derivative of 0*n**2 - 15 + 0*n - z*n**3. Give a(q(m)).\nAnswer: -169*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**2\/4 + 88187837*v\/2 - 7777094594738569\/4.\nAnswer: -(v - 88187837)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.2 (b) 195 (c) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -1 - -1 - (-146 - -139)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 68967.6 and 782.\nAnswer: 53932663.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34903 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 269902 - 270902.327. Let b = -1001 - v. Round b to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128484 is divided by 1458.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 185619 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10067.\nAnswer: 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 0 - 1\/3*m**2 - 1\/3*m**4 + 0*m - 2\/3*m**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3239027266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -71? (a) -3 (b) -1\/2 (c) 0 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 812 - 1874 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.047 - -0.847. Put v, -27, 0.5, -3, 5 in decreasing order.\nAnswer: 5, 0.5, v, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5)\/2 - 57\/(-6). Let v(z) = 5*z - 12. Let t(q) = 5*q - 12. Let k(l) = 4*t(l) - 3*v(l). Let a be k(m). Solve r + 5*x = -a, -3 = -2*r + 2*x + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3330 - -3447. What is the least common multiple of 52 and m?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 2, -10, 112 in decreasing order.\nAnswer: 112, 6, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m. Let t(p) = 517*p. What is q(t(i))?\nAnswer: -517*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 2*r**3\/5 + 18*r**2\/5 + 28*r\/5 = 0. Calculate r.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-208)\/(-520))\/((-4)\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(77) + 4*((sqrt(77) - sqrt(77)*2) + sqrt(77) - sqrt(77)))\/(4*sqrt(28) - sqrt(7)).\nAnswer: -3*sqrt(11)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -49421\/22 + 2250. Let q be (-4)\/43728*-35*(-2)\/7. Let k = -319711\/54660 + q. Calculate the common denominator of a and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-1013)\/11143 - (4\/(-6) + 66476\/(-33))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 2*f + 1. Let s be i(3). Suppose 2*l - 3 = -5*q + s, -3*l - 3*q = -6. Solve 2*g - 3*u - 8 = l, 3*u + 2*u = 5*g - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/1488 and -67\/930.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + -11 + (-2 - 3) - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of -l**6\/120 - 5*l**4\/24 + 5*l**3\/6 + l. Let y(c) be the second derivative of r(c). Differentiate y(q) with respect to q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 27273882 and 0.4?\nAnswer: 27273881.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 7*r**2 - 7*r - 12. Let a be c(6). Suppose i - 4*i = -4*h - a, i - 59 = -h. Let j = i + -59. Calculate the remainder when 15 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 5575980*g**2 + 22416. Let x(j) = -3731*j**2 - 15. Calculate -5*q(t) - 7472*x(t).\nAnswer: -1868*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(3) + -2 + -4)**2.\nAnswer: -18*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l - 1. Suppose -5*q - 10 + 0 = 0. Let t(k) = 46 - 6 + 5 - 44. What is q*t(m) + u(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -r + 6*r. Suppose -r*n - 16 = -4*t, -t - n = -16 + 2. Calculate the smallest common multiple of (1\/(1\/(-3)))\/((-51)\/221) and t.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 22804*u - 1322594. Give z(58).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10384 and 103053648.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4765 is divided by 526?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -20*a - 2. Give g(3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**21*u**(-2\/11)*(u*u*u**13)\/u**11 assuming u is positive.\nAnswer: u**(273\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 - (5 - (-4 - -14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzzzzzzzz. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3354.325g?\nAnswer: 3.354325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 163*d. Let t(f) = -847*f**2 + 211*f**2 + 216*f**2 + 210*f**2 + 211*f**2. Give l(t(a)).\nAnswer: 163*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.01 + -35.41. Let c = p + 34.567. What is c rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.8916 + 0.0484. Which is the fourth biggest value? (a) 0.1 (b) -5 (c) g (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tteeetjetetjttttjtje. What is prob of sequence eetj?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9090613 divided by 3.\nAnswer: 9090613\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is m in m**5 - 163*m**4 - 10123*m**3 + 53491*m**2 - 75966*m + 32760 = 0?\nAnswer: -52, 1, 3, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -6e67 (base 16) to base 4\nAnswer: -12321213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.3 + -3. Suppose 4 = 5*v + 19. Let h(q) = -q**3 - 2*q**2 + 5*q + 2. Let j be h(v). Which is the closest to -0.1? (a) -6 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7142, 28706, 64658, 115010, 179774, 258962, 352586, 460658?\nAnswer: 583190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*c = 8*c + 35. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = f - 5, -2*w + 21 = 3*f - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -77, -267, -511, -749, -921, -967, -827?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 28*a + 153. Determine g(-15).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*t + 237 + 154 = 0. Suppose 119 = 2*b + m, 0 = 5*b + m - 0*m - 293. Calculate the remainder when b is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 179 is divided by 175.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from desalegd. Give prob of picking 1 s and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-4*(-5 + -4*5*(-1 + sqrt(448))*-3*-6))**2.\nAnswer: -2792967600 + 98150400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 92833401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 132875 is divided by 1872?\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*f - 14 = -24*f + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 480 is divided by 81?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1756 is divided by 1522?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a = -3*i + 8, 175*a - 171*a - 3*i = -20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-19)\/(7 + -12 + (-4)\/(-1)). Solve -204 = p*g + 15*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 4*c + 2)*((c + 2*c + 0*c)*(-1 - 2 + 6) + 5*c + c + 34*c)*(2 + 2 - 3).\nAnswer: -196*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-1*sqrt(228)*4 - sqrt(228) - -2*(sqrt(228) - (3*sqrt(228) + sqrt(228))))\/(sqrt(1452) - ((sqrt(1452) - 4*sqrt(1452)*2) + sqrt(1452))))**2.\nAnswer: 304\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x - 3350 = 9*x. Let o = 299826\/179 + x. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12 - -11. Let w be k + -3 - (-3 - -6). Which is the smallest value? (a) -3 (b) 0 (c) w (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 11*v**3 - 18*v**2 + 4*v + 25. Let i(p) = 5*p**3 - 9*p**2 + 2*p + 12. Let d(u) = -13*i(u) + 6*s(u). Let f = -5907 - -5899. Is d(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3326605 years in decades?\nAnswer: 0.03326605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*t + 2 - 2*t - 5*t)*(6 + 9 + 3) - 3*t + t - 5*t.\nAnswer: 137*t + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 63859.04 days in nanoseconds?\nAnswer: 5517421056000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add 0.016018 and -11.33.\nAnswer: -11.313982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-m**4 - 2 + 2)*(-1 - 1 + 1) + (-52524*m + 52524*m + 1985*m**3)*(8*m + 2*m - 4*m) to x*m**3 + n*m**4 + p*m + v*m**2 + c and give n.\nAnswer: 11911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4310636740.\nAnswer: 2, 5, 215531837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -3502 (base 6) to base 10.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -740 + 1972 = y. Is y a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3 - 12 - -2) + 2. Let g(b) = -b**3 - 5*b**2 + 5. Let l be g(y). Let z(j) = 7*j - 7. Let d = -14 - -11. Let n(t) = 4*t - 4. What is d*z(q) + l*n(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -277 + 571. Let c = -255147\/20 - -12760. Find the common denominator of c and (-31)\/6 + 28\/g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 165 or -208135?\nAnswer: -208135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 3, k: 8}. What is prob of sequence dddk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**3 - 5*h**2 - 5*h + 4. Let l be d(-4). Solve -2*p = -0 - l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the third derivative of 7*s**5\/12 + 5*s**4\/8 - 5*s**3\/2 + 3*s**2 + 7. Let v(m) = -5*m**2 - 2*m + 2. Determine 2*l(d) + 15*v(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the second derivative of -r**5\/120 + 11*r**3\/6 - 3*r. Let l(v) be the second derivative of h(v). Let y(g) = -16*g. Determine l(y(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -0.2 (b) 4 (c) -5 (d) -0.014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*(-30)\/(11 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2\/3*s**4 + 18*s**2 - 484 - 1430\/3*s + 10*s**3 = 0. What is s?\nAnswer: -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 139.3056 millimeters to nanometers.\nAnswer: 139305600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2 - 81500\/12 - (-12)\/18. Let t = w + 162955\/24. Calculate the common denominator of -111\/56 and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/(-10) - (-16)\/90. Suppose -4*w + 0*w + 40 = 0. Let o be (2\/w)\/((-36)\/30). What is the smallest value in -0.2, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2477 less than -9?\nAnswer: -9.2477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 15 = -3*b, 0*s - 2*s - 25 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 3, e: 4}. Give prob of sequence eell.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -3*n**3 - 2*n**2 + 1. Let z be i(1). Let w = -1 - z. Suppose 2*u = -c + 16 - 4, -2*c - 4 = -3*u. What is the least common multiple of c and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 23*s - 133 = 0. Calculate the remainder when 44\/(-6)*(-9)\/6 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from hgcccqeencnn.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 443567*i - 7*i**3 + 3*i**3 + 6*i**3 - 443567*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {z: 12, y: 7}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/1921 and 22\/17.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 10:49 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t**(-3\/5)\/t*t*t)*t**(-1\/7)*(t**0)**(-8))\/((t\/t**(-1\/2))\/(t*t**1))**(-1\/41) assuming t is positive.\nAnswer: t**(1277\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**2 - 2. Let v be z(2). Suppose 3*h = v*h. Let f be (3 - 3)*(1 - h). Which is the second smallest value? (a) f (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -3 (b) 21 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -231, -435, -579, -633, -567, -351?\n\"Answer: 5*w**3 - 239*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2.03 - 0.03. Let h be 3\/(-6) - (-3)\/(-6). Let g = 23.3 + -27.3. What is the second biggest value in y, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1273 - 1272.6. Put u, 18, -2 in increasing order.\nAnswer: -2, u, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 486676 + -334955. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 150*y. Let x be g(6). Suppose 3*c + x = 8*c. Suppose 0 = -4*u + u + c. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**2 - 31*y - 102. Let w be f(-27). Let m be 188\/36 - 30\/w. Which is the biggest value? (a) m (b) -1 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 65 - 63. Let s(g) = -24 + d*g - 16 - 14*g + 12. Let a(n) = n. Let l(i) = -5*a(i) + s(i). Differentiate l(x) with respect to x.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 4*l - 26 = 0, -a = -l - 2 - 15. Suppose -1015 = -26*k + a*k. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (234 + 689 + 351 - 185)*(-2*c**4 - c**4 + 2*c**4) as r*c**4 + q*c + z*c**3 + j*c**2 + d and give r.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + o**2)*(-3*o + 3*o + 2*o) + (0 - 1 + 0)*(-2*o**3 + 0 + 0) - 9*o**3 - 241*o**2 + 241*o**2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 2*u - 855, 0 = -4*z + 5*u - 844 - 296. Let m = -272 - z. Calculate the greatest common factor of m and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/21 (b) 4 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -152448 - -152443. Let t = -2 - -5. Which is the biggest value? (a) u (b) t (c) 1\/11 (d) 0.58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 251 + -236. What is the second smallest value in 0.2, f, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k - r + 79 = 55, 2*r = -2*k + 23 + 51 - 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 0, -3*k - 261 = -s - 225. Which is greater: k or -160\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/9? (a) 1\/2 (b) -0.4 (c) 97 (d) 10.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**3 + 1719*r**2 - 121874*r + 236880.\nAnswer: -(r - 1645)*(r - 72)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (28 - 2 + 179*d - 24)*(5 - 3 - 3).\nAnswer: -179*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -226856305472 take away 0.0219?\nAnswer: -226856305472.0219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 56306196 to the power of 1\/2, to the nearest integer?\nAnswer: 7504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 1:41 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 23050 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does -89238466 = -89238459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 46 + 170*m**2 - 4*m - 2 - 9 + 139*m**2 + 2*m wrt m?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12069 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = -n - 7, 2*l - 12*n = -7*n - 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1774499 + -1100499. Round h to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = 5*d. Suppose l + 1 = 4*x, l + 13 = 4*x + 4*l. Let k be (1 - -2 - x) + (-1 - 1). Solve k*p = 4*b + p - 12, d = 2*b + 4*p - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5288, 5288, 5286, 5282, 5276, 5268, 5258?\nAnswer: 5246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -52\/11 and -107\/1292778.\nAnswer: 14220558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 3*o = 0, 2*a - 11*o + 8*o = -25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 907847*m = 907641*m - 412 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = 5*i - 10. Suppose -i*h + 716 = -339. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i + 0*h = 5*h + 5, 0 = -i + 2*h + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0\/(((-8)\/(-20))\/((-2)\/5)). Suppose c = 13*s - 89 + 24. Suppose 0 = -0*r + r + 2*x + 4, 5*x - 8 = 2*r. Sort s, r, -2.\nAnswer: r, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 6, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 21*q**3 - 18*q**2 + 42*q - 20. Let k be v(5). Is k less than 2365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -220319 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, k: 1, n: 1, m: 3, f: 5, q: 1}. What is prob of sequence kffm?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -2*r**3 + 75 - 3*r**3 - 71 as h*r**3 + w*r + t*r**2 + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 4*v = -16. List the prime factors of 45 - 5*v\/(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 19\/28 in -6, -0.6, -84\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + p = 7 + 5, -p - 33 = -4*v. Differentiate -v*t**2 + 12*t**2 - 11 - 10*t**2 wrt t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:21 PM and 6:31 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-165)\/12 + 13 + ((-57)\/(-12))\/1. Let a = -27 - -16. Let z = a - -15. Solve -j*w - 32 = -z*f, 4*w + f + 12 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - -1 - (5 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -5, -0.4, 10489, -64?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 3*d + 2. Let u(f) = 13*f**2 - 2*f + 1. Let n be u(d). Let h be 0\/(1 - 3) - -2. Solve -s + n = h*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -i - 61 - 50 + 115.\nAnswer: -i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 118351, 118350, 118349, 118348, 118347, 118346?\nAnswer: 118345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the first derivative of 3*c**5\/5 - c + 1. What is the derivative of x(l) wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16830486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + b + 5)*(50*b - 8*b - 24*b)*(-2 - 3 + 0).\nAnswer: -90*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -0*i. Suppose -3*k = 9, 4*w = -k - 2*k + 51. Suppose i = y + 2*y + w. Let n(h) = h + 6. What is n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (48*c - 98*c + 49*c - 2*c**3)*(c + 2*c - 4*c).\nAnswer: 2*c**4 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -67\/70 + 1\/10. Suppose 122*r - 136*r = 0. Is r less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/32 in -1, -1\/8, 1\/30?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 2*c + 19. Let v be y(-7). Suppose -3*x - 18 = -5*x. Solve -3*r - 4*i = -17 - x, 0 = 2*r + v*i - 29 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 12*h - 345. Let l be v(29). Solve -4*u - 3*j = 8 + 9, l*j = 3*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q + 5, -j + q = -4 + 1. Solve -4*i + 13 = -5*h, h + 5*i = j*i + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -6*4*-4*(sqrt(2448)*1 + 1 + sqrt(2448) - (-1 + sqrt(2448) + 0)).\nAnswer: 193 + 1152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a minute in milliseconds?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, q: 14}. What is prob of picking 1 q and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -9.283428?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express ((1 + 1 - 1)*(-1 + 0 - 1) - 4 + 4 - 3 - 6 - 1 - 3)*(-u + u - 3*u) as g + q*u and give q.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 38, 81, 124, 167?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 8) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 4*v = -27, 5*w + 6*v - v = 0. Is ((-127)\/(-2) + w)*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -54*n + 877. Calculate q(13).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/8)\/(18\/84) + (-410)\/(-58)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.1 (b) 4 (c) 322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 8685288874 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the third derivative of 2*x**7\/525 - 32*x**6\/75 + 887*x**5\/75 + 442*x**4\/3 + 2312*x**3\/5 - 7*x**2 - x + 150. Determine s so that l(s) = 0.\nAnswer: -3, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 49*z**2 - 4*z - 5. Let f(d) = d**2 + d + 1. Determine -6*f(u) - y(u).\nAnswer: -55*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.8 + 0.856. Let v = -0.05 + j. Round v to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -103 - -167. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24441.99064 minus -3?\nAnswer: -24438.99064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19*v + 13*v + 8*v**2 + 6*v to f*v**2 + u*v + a and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 0*t**2 - 2*t**2 - 6438*t**3 - 2*t + 6439*t**3 as j*t**2 + v*t + n*t**3 + g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -389603\/20 + 19484. Find the common denominator of 1\/200 and u.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -4*y. Let c be i(-1). Let s(p) = 54*p - 49. What is the remainder when s(c) is divided by 46?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50, -172, -290, -404?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 1119 = 64. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2 - 6*a + 74. Calculate u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9213 and 133350.\nAnswer: 409517850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1830055877 a multiple of 3043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**3\/8 - 6705*j**2 - 17698811*j\/2.\nAnswer: -j*(j + 1354)*(j + 52286)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 0.4 (c) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 2 = -2*m, -m = -3*a + 2 + 3. Solve -v - 2*v = u + 17, u - 3*v = m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2413\/3 + -804. Let h = -2\/27 + 35\/108. What is the third biggest value in h, -1, v, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 777744*a**2*v**2 + 452*a**2*v*x + 195*a*v**2 - 7*a*v - 138*v - x + 1 wrt a?\nAnswer: 1555488*v**2 + 904*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -5*g + 21, u = -5 + 2. Suppose 2*c - 30 = -g*h - 0*h, -5*c + 75 = -h. Suppose -3*z - 3*k = -6*k - 3, 5*k = c. Solve -x = x - z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -91 + 93. Solve -3*n = y*r, -5 = -3*r + 4*r + 4*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence porp when four letters picked without replacement from crccprcprrrrpqpprror?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 5164\/9473?\nAnswer: 5164\/9473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 62*a + 9. Let q(w) = 93*w + 14. Let r(f) = -7*k(f) + 5*q(f). Let u be r(5). Suppose 2*c = u + 64. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 10 - 851*l - 852*l + 2559*l - 855*l. Let p(x) be the third derivative of -x**5\/60 + x**2. Calculate s(p(z)).\nAnswer: -z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 2*o**2 + 3. Let z(r) = r**2 - 7*r - 3. Let p be z(8). Suppose 0 = p*h - 1 - 14. Is c(h) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -49.1 (c) 0.0957\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(117)*-1)\/(-1*sqrt(576)) - ((sqrt(1911) + sqrt(1911) + 2*sqrt(1911))\/(sqrt(30)\/(sqrt(10)*1)))**2.\nAnswer: -10192 + sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -5*l**3 + 6*l**2 - 4*l + 1403. Let i be h(0). What is the highest common divisor of 1525 and i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-14)*(-105)\/1560*4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q - 8*p = -8, 0 = -14870*q + 14875*q - 4*p + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 16\/11959 <= -8.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -151 - 394 = 44*w - 1238 - 1683 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2847938 is divided by 103?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the second derivative of u**3 + 5*u**2 - u. Let s(a) = a + 1. Let o = 4 - 5. Let f be (6*o)\/(3\/4). What is f*s(x) + k(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/6 - (-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5\/14 in -5, -9, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2 + 5)*((4 - 3 - 2)*(4 - 3*r - 4) + 4*r - 3*r + 5*r).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 4}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0021830755 rounded to six decimal places?\nAnswer: -0.002183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2\/355055 - -30179951\/48997590. Let w be (-18)\/(-4)*3\/414. Let d = q - w. Find the common denominator of d and 145\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**3 + 3540*j**2 - 774300*j + 50039500.\nAnswer: -4*(j - 595)*(j - 145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1057\/1791 - -4\/1393. Find the common denominator of -49\/45 and i.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-54)\/495*-5)\/(-3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1b (base 15) to base 12\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 472227280 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - 10100210020122010?\nAnswer: -10100210020122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -20188 divided by -4\nAnswer: 5047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-45)\/(-54)*(-18)\/(-40)*(-67)\/(-201).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -36482 divided by -493\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 4*u + 3)*(10 - 3*u - 10) + 10*u**2 + 14*u**2 + 6*u**2.\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -24*t**3 + 2*t**2 + 6*t - 7. What is z(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k + 15*k - 20. Find f, given that -f + 0 - 1\/3*f**k = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1266333, -1266376, -1266449, -1266552, -1266685?\n\"Answer: -15*q**2 + 2*q - 1266320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 1229*s - 1234*s. Put -4, s, 84 in increasing order.\nAnswer: -4, s, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14179?\nAnswer: 11, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.4 + -3.02. Let o = -1121.54 - -1120.92119. Let c = o - i. Round c to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqbqbqbbqbqqqq. What is prob of picking 3 b?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31550900.\nAnswer: 2, 5, 53, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -o = l + 8 - 9, -2*o = 3*l - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (84\/138)\/(-7)*((-3)\/3)\/1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-15)\/(-12))\/((-2)\/(-8)). Suppose 3*z - 20 = -z, -g*z + 37 = 3*u. Is u\/(-6) - 1689\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 6*v = 32. Let f be (8\/(-5))\/(v\/(-320)). Let j = 49 - f. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 32699*n. Let b(r) = -7*r**2. Give b(j(v)).\nAnswer: -7484572207*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1453 + 2159. Suppose u - 4015 + h = -j, -4*j = -5*u - 13236. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*z**2 + 12*z**2 - 9*z**3 - 26*z**2 - 8*z**3 wrt z?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k. Let j(o) = -2*o. Let v(z) = z. Let i(r) = -3*j(r) - 7*v(r). Let w = -31 + 30. Let l(c) = w*q(c) - 2*i(c). Let a(b) = 11*b**2. Give l(a(t)).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**3 - 13*b**2 - 11*b - 6. Let w be h(18). Suppose 4*v - 3*c = w, 2*v - 2*c = -3*v + 1763. Calculate the highest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the second derivative of -5*b**4\/12 - 5*b**3\/3 - 5*b**2\/2 + 4*b. Suppose t(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -102866*w + 34305*w + 34239*w + 34120*w.\nAnswer: -202*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.1 and 4792.99.\nAnswer: 4793.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -133*t - 746 - 1714 = 113*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -13. Suppose 8 = -2*s + 22. Suppose -2*c = -c - s. Solve 4*b + 3 - c = -4*z, k = -4*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*m - 7*m + 5*r - 45 = 0, -12 = -2*m - 5*r. Let b(a) = -2*a**2 + 39*a - 153. Let j be b(8). Solve -j - 2 = -m*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of -c**5\/10 - 7*c**4\/12 - c**3\/2 + 7*c**2\/2 - 2*c + 1295. Let l(n) = n**3 + 3*n**2 + 2*n - 3. Calculate 6*a(j) + 14*l(j).\nAnswer: 2*j**3 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-111)\/((-14319)\/7095) - (2 + 0).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 33627044 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 3*z = z. Suppose z*h + 8 = 2*h. Let n be (-9)\/h*(-44)\/33. Solve -n*t + 2*t = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1145 - -1149. Solve 3*r = -v + 1, 14*v + b*r = 13*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1303, -5358, -12117, -21580, -33747?\nAnswer: -48618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*y**2 - 56*y**2 + 6*y - 3*y - 139*y**2.\nAnswer: -164*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1\/27160, 6, -0.2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.03 (b) 15.4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 595125429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6*y**3 + 6*y**6 - 19*y**6 + 19*y**2 + 9*y**6 - 1 wrt y?\nAnswer: -480*y**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1558, -1518, -1452, -1360, -1242, -1098, -928?\n\"Answer: 13*b**2 + b - 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 2 + 6 - 7 - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 791, 1568, 2345, 3122?\nAnswer: 3899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 980*v + b = 978*v - 9, 0 = -4*b - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vzv when three letters picked without replacement from vvzvzvvzvzvzvvzvvv.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 4*t, -t + 0*t = 3*p + 2. Let x = 6 - 3. What is the second biggest value in -1, x, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5437 - 0.3331787459\nAnswer: -5437.3331787459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 656*p + 32 = 654*p + 6 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4\/703 + -76587\/7030. What is the common denominator of y and 687\/(-182) - (-64)\/(-416)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**2 - 20*s + 594. Let n be l(20). Suppose -144 = -4*y - 0*y. Calculate the highest common factor of n and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -35907 - -35912. Sort 81\/7, i, 0.4, 7 in descending order.\nAnswer: 81\/7, 7, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 358*y + c = 359*y - 14, 0 = -2*c - 4 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3 or 3\/73261?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 110184.\nAnswer: 2, 3, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -23*l**2 - 100*l. Calculate g(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1936a (base 14) to base 3\nAnswer: 10020111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o + 3*t = 22, -t + 3 = -2*o - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -p - 1 - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4294607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4419946 is divided by 746.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 2*k - 4*k)*(-2 - k + 2) + ((-1 + 2 - 2)*(-26 - 3*k + 26) - k + 0 + 0)*(-13 - 3*k + 13).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -99 + 60. Let p = -31 - x. Suppose -6*l + p = -4*l. Solve -2 = l*f + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 219541830 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 5*m + 1412 = 0, -5*v - 4*m + 6*m - 3501 = 0. Let a = -2060\/3 - v. Let p = 176 + -1214\/7. What is the common denominator of a and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*m - 7*m + 17*m)*(-2 + 0 - 8) to the form a + g*m and give g.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are -18578 and -18463 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - (36 - 1) - (8 - 11 - -16).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4506620 divided by -505\nAnswer: 8924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((-352)\/40 - -9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum -402.6 and 1558343430.\nAnswer: 1558343027.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 88, 150, 186, 190, 156, 78?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/10 + (-7 - 470\/(-50)). Let m = 442 - 205. Suppose -a*d - 13 = z - 105, -3*z + 4*d = -m. What is the remainder when z is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s + 15 = -2216*h + 2219*h, -5*h = 2*s + 23 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**3 + 6*r**2 + 2*r + 4. What is p(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 2*s - 3. Let x be i(-10). Let v = x - -25. Suppose -v*h**2 - 1 + 6*h - 14*h - 7 + 0 = 0. Calculate h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((38 + 70*t - 38)*(-12 - 2 + 1) - 2*t - 4 - 2 + 5)*(5*t**3 - 4*t**3 + t**3) to x*t**3 + i*t**4 + m + b*t + f*t**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 355 - 329. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2\/13, 3\/4, -23898, -5, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 317327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16347178 is divided by 392.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -88*d + 2516. Determine n(28).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-26\/7)*a**(-6\/13))\/(a*a*a*(a\/(a\/(((a\/a**(2\/25))\/a)\/a))*a)\/a*a**(-2\/17)\/a) assuming a is positive.\nAnswer: a**(-192531\/38675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 159\/152?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -34848 = 328*k - 3566*k + 36507 + 61403 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/12 - -2)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 43117.8 and 0.1.\nAnswer: 4311.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -4*p + a + 13, 5*p - a - 21 = 0. Let t = 44 + -30. What is the remainder when t is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/((z*((z*z**(1\/2))\/z)\/z)\/z)*(z**(-1\/2)\/z)\/z*z**2\/((z\/(z**7*z))\/z)*(z**(2\/5))**(8\/3)*(z\/((((z**(-2\/3)\/z*z)\/z)\/z)\/z))**(-29) assuming z is positive.\nAnswer: z**(-1879\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**2 - r - 1. Let i(t) = -5*t**2 + 3*t + 4. What is 3*g(a) + i(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = j - 24, 2*j - 3*s - 4 = -4*s. Let a be j*(-3 - (-50)\/8). Suppose -a - 19 = -4*f. Solve -o - 4 = -f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 2*v**2 - 4 + 4. Let n(y) = -2*y**2 + 1. Let k(c) = 68*c**2 - 36. Let m(d) = -2*k(d) - 72*n(d). Calculate o(m(z)).\nAnswer: 128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = u + 241, -4*m - u - 188 = u. Let b = -46 - m. Is -1 + b + -1*(-701 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4141*p**2 - 4949*p wrt p?\nAnswer: 8282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 55, 68, 91, 124?\n\"Answer: 5*u**2 - 2*u + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12 - (-26 - -14)) + -2 + (2 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/2*(-4 + -2). Suppose -w*z = -5*z + 42. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5805440 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 678.2313 to zero dps.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*h**5 + 0*h**5 + 0*h**5 + (0*h**2 - h**2 - h**2)*(2*h**3 - h + h).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23551063, 47102121, 70653181, 94204243, 117755307?\nAnswer: 141306373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are -4857 and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 629960783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 61.\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2198360 and 1099180.\nAnswer: 2198360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(2\/5))**(8\/5))**(-28) assuming g is positive.\nAnswer: g**(-672\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*o**2 - 9*o**5 + 6*o**2 - 9*o**5 + 4*o wrt o?\nAnswer: -1080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + -91d1755?\nAnswer: -91d1750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-22)\/(8\/(-3) - -2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 55 (base 9) to base 12\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 155 (b) -2\/7 (c) -1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 145142 is divided by 455.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + (65 + -57)*1\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -36567.927 + 36593. Let p = h + -25.2. What is p rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.04 and 1.7.\nAnswer: 3.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1160.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-4) + (-125)\/(-50). Suppose -3 = c + k. Let q = 50 + c. Calculate the highest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 98659 and 6886?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = -4*w - 5*b, 4*w + b + 18 = -7. Let l(u) = -2*u - 8. Let j be l(w). Solve -s + 5 = 2*f - f, -j*s + 3*f = 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20613 - 166106 = -2679*c - 3351*c + 211 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 17712177326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and 0.0697.\nAnswer: -0.3485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -280 - -460. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -867.9643 + -0.0357. Let x = 868.001805 + b. What is x rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6654 (base 15) to base 10.\nAnswer: -21679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**9*v*v**(-6)*v*v**(5\/7)*(v*v*v*v**(3\/8))\/v assuming v is positive.\nAnswer: v**(453\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 717, 2, 4, 3, -3372 in decreasing order.\nAnswer: 717, 4, 3, 2, -3372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -2*i**3 - 22*i**2 + 14*i + 43. What are the prime factors of v(-16)?\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, b: 1, s: 1, a: 1, j: 1, z: 1}. What is prob of picking 1 a, 1 s, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/(-6*3\/12). Suppose 132 = l*s - 0. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**2 - 25*l - 66. Let k(d) = -2*d**2 + 50. Let v be k(6). Let i be j(v). Let m = 12 + -8. Solve -n = -i - m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10074\/(-138) + (-4104)\/(-96) + (-15)\/4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqqnnqqqqqqnnnnqqq. What is prob of sequence nqq?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (82*z + 66*z + 6*z)*(-2*z**3 + 36*z**3 + 9*z**3) to the form n*z**2 + s*z + f*z**4 + p + c*z**3 and give f.\nAnswer: 6622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*q**4 - 9 + q**3 + 9*q**2 + 5*q + 12 - 8*q**2 to the form k*q**2 + a + c*q**4 + x*q**3 + s*q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 3*b = -1904, -4*d - 4*b = -8*b - 1900. Which is smaller: 480 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 2 = -4*j, j - 2*c = 6*j + 11. Let m(l) = -l**2 - 7*l - 2. Let a be m(-6). Let n be 1\/a + (-51)\/12. Put j, -5, n in decreasing order.\nAnswer: j, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from nkizf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 570 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 238 + -86. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 5, -4, -39 in descending order.\nAnswer: 5, -4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(104) + -1*(sqrt(104) + 1*sqrt(104) + sqrt(104) + sqrt(104)) + sqrt(104) - sqrt(104))\/sqrt(8).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ehel when four letters picked without replacement from {w: 1, j: 1, l: 2, e: 2, x: 1, h: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 4*u + 47. Suppose y - 4*y - 36 = 0. Let o be f(y). Which is the closest to o? (a) 0.4 (b) -0.3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 11*h**2 + 15*h - 28. Let p(u) = 20*u**2 + 30*u - 55. Let k(n) = -6*p(n) + 11*z(n). Let s be k(16). Which is smaller: s or 118\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -51 + 46. Sort 5, 3, f, 10 in increasing order.\nAnswer: f, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 139658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -2*c**2 + 20*c - 17. Calculate the remainder when h(7) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, -32, -2\/5 in increasing order.\nAnswer: -32, -5, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1\/2 - 3\/4. Which is the closest to 1? (a) -0.4 (b) g (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -178 - -5?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o - 2 - 9. Suppose y + 3670*t - 3672*t - 74 = 0, 213 = 3*y - 5*t. What is the remainder when y is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + 6 + (-1 - 27) + (-63 - -79)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 plus -692?\nAnswer: -691.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/4, -2106\/17, 3\/5, -0.1, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*o + 5*o - 32. Let t = o - -9. Sort t, -2, 0 in descending order.\nAnswer: t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 212 - 213. Let h be 2\/(-3) + (-4)\/(-6). Let k = m - h. What is the nearest to k in 9, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**3 - 8*j**2 + 3*j + 9. Let n be v(9). Suppose 0 = -5*l + 5*u + 665, 3*l = -2*u + 272 + n. Calculate the remainder when l is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -5*-2*(-5)\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 761806?\nAnswer: 2, 23, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ikikktikkkkkkkk. Give prob of picking 3 i and 1 t.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together 17 and -0.28544.\nAnswer: 16.71456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 435*b**5 + 969*b**4 - 5*b**3 - 12*b**2 - 10*b - 172743?\nAnswer: 26100*b**2 + 23256*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 64\/825 and -173\/450?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w + 2*w + 22 = 2*n, -5*n = 2*w - 31. Solve 5*v - 2 = w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 5 (b) 2 (c) -1\/12 (d) -41 (e) -5 (f) 1399\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 41 = -1. Suppose -4*p + 20 - o = 0. Let l(y) = -y**2 + 3*y + 10. Let h(g) = 2*g**2 - 6*g - 19. Let a(i) = -6*h(i) - 11*l(i). Give a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 19 + -17. Suppose -6*n = -m*n + n. Let d = 7 + -4. Solve n*c = -d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*x**3 + 18*x - 18*x - 2*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(1053)*6 + 3 + sqrt(1053) + 1 + ((-1 + sqrt(1053))*-1 - (0 + sqrt(1053)*-2)))*-6)**2 + -5.\nAnswer: 25920*sqrt(13) + 2427007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -23*n + 2*g + 12, 4*g - 3*g + 0 = -27*n - 3*g - 24 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-11 + 9 - -4)*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -80*x - 85*x + 246*x - 264*x**3 - 81*x.\nAnswer: -264*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 76215 is divided by 117?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 0*h + 100 = 0. Let j = -15 + h. Suppose j*i - 3*f + 2*f = 579, -3*i = f - 341. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -93 + -0.34\nAnswer: -93.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1.8 and 334197186?\nAnswer: 334197187.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3409989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -228*b - 10291. What is the ten thousands digit of t(-139)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -169395225 - c**4 + 169395222 + 5*c - 2*c**2 + 11*c**3 + 10*c to the form j*c + x*c**3 + a + s*c**2 + w*c**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 7721, 7722, 7723, 7724, 7725?\n\"Answer: p + 7720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 6, n: 3, o: 2, p: 1, v: 1, j: 2}. What is prob of sequence nuv?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -1\/5, 0.02, 3\/7, -249, 1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are 4\/2592317 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 - 9487737122960.\nAnswer: -9487737122955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of z**4\/12 - z**3\/6 + 28*z**2 - 98*z. What are the prime factors of l(-26)?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/42*(-1860)\/775.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -2*c - 4. Let k(r) = 6*r + 7. Let i(s) = 4*s + 5. Let a(f) = 9*f + 11. Let m(b) = -3*a(b) + 5*i(b). Determine c*k(y) - 5*m(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**8)**(1\/34) assuming g is positive.\nAnswer: g**(4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor z**2 + 32962*z + 271623361.\nAnswer: (z + 16481)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*y - 200 - 121 = 84 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -76 = 3*t - 8*f - 41, -2*f = -5*t - 47 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 10*w**2 - 8*w. Let z(y) = -y**2 + y. Let p = 3 - -1. Suppose 6*c = p*c + 4. Let l be c\/6 + 25\/(-3). Give l*z(t) - x(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*(j*j**(-10\/9)\/j)\/j*j*j*j*j\/(j*(j**33\/j)\/j*j)*j*(j**(-5))**(-46) assuming j is positive.\nAnswer: j**(1808\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -24 + 34. Suppose 4*d - 5 = -5*l, 5*d - 2*d + 3*l = 6. Solve -5*a = -w + k, 4*a - d*a + 4 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**2 + 6*c - 16. Let d be j(-8). Suppose -12*h + 8*h + 176 = d. Let m = 24 + -13. What is the highest common factor of m and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 20 = -9. Let s = 10 - a. Sort s, -4, 0.\nAnswer: -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-21 - -46) + 3 + -56.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, 2\/7, -10 in decreasing order.\nAnswer: 2\/7, 1\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 8\/20*(-16 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(-3) + 3\/((-45)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -157\/1020 and -161\/1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose g**3\/6 + 268*g**2\/3 + 41480*g\/3 + 476288 = 0. Calculate g.\nAnswer: -244, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3688 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 280*h**5 + 11*h**2 + 22?\nAnswer: 16800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18799 - 8.1957.\nAnswer: -18807.1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 - 3*m**2 + 7*m + 6. Let a be i(-5). Suppose b - 5*d = -a, 5*d + 6 = 4*b + 3*d. Suppose -336*p - 145*p = 451*p - 3728. Solve 0 = -b*r - p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - 16*f + 11*f - 80, -5*f - 20 = -2*y. Let p be (140\/16)\/(15\/y)*11700. What is p rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/25228 and 13\/16.\nAnswer: 100912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = -4*n + 21. Let k be n\/7 - (-884)\/91. Let f(w) = w**2 - 10*w - 8. Give f(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28425, -66815, -115165, -173475, -241745, -319975?\nAnswer: -408165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 53 divided by 6403?\nAnswer: 53\/6403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Subtract -449033 from 4842499.\nAnswer: 5291532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes after 4:02 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (w**2 + w**2 + 0*w**2)*(2*w**2 - 3*w**2 - 2*w**2) - 96*w**4 - 3609*w**2 + 3609*w**2.\nAnswer: -102*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 76 + -455\/6. Which is the nearest to -0.1? (a) 2\/11 (b) -3\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i - 12, -w = w + 3*i - 41. Suppose -14*g - 48 = -w*g. What is the greatest common factor of 60 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1303 in 5, 4\/9, -2\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 332 = 2*s, 14*s = 11*s + 3*u + 522. Calculate the remainder when 415 is divided by s.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 55*l**2 + 17*l**2 - 2*l - 6*l - 43*l - l**3.\nAnswer: -l**3 + 72*l**2 - 51*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hll when three letters picked without replacement from lllhlllllllllhlcl?\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -5*q**2 + 58*q - 330. Let f be w(6). Is f greater than -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -68.636 + 69.226. Let n = 1 - 6. What is the third biggest value in y, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -6*(5*(-1 + sqrt(500) + sqrt(500)*-2 - 1*sqrt(500)*-2) + 4))**2.\nAnswer: -4800*sqrt(5) + 450064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-16)\/(-12)*(-3 - 0). Let r be 4*(3 + 10\/(-4)). Let a(b) = 5 - r*b + 2 - 3 - b**2. Give a(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 3*c**2. Suppose -2*u - 3*o + 1 = -6, 2*o = u. Suppose 12*g - 5*g = 21. Let s(w) = -4*w**u + 5*w + g*w**2 - 5*w. What is s(j(p))?\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - f - 5)*(3 - 3 + f)*(-115*f**2 - 19*f**3 + 115*f**2).\nAnswer: 19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0006376253168 to 6 decimal places.\nAnswer: -0.000638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-23211)\/(-45) + (57\/(-15) - -3). Calculate the greatest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*p + 7066 = -152*p + 3286 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -52.95 and -7198989.26?\nAnswer: 7198936.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - i = -14, 4*z = -3*i + 1 + 8. Suppose 0 = z*o + 14 - 5. Let t be o + (-51)\/3*1. What is t rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15700167 is divided by 452?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 + 11*b**2 + 21*b + 23. Let d(q) = 5*q**2 + 60*q - 74. Let l be d(-13). Calculate p(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/(-2)*472\/36 - -2 and -47\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x + 3. Let z = -39 - -39. Suppose z*s + 3*t = 5*s + 28, -5*t = -3*s - 20. Calculate m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 8 = 4. Let j = 2 + p. Does 11 divide 136\/j + (-4)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*z**2\/7 - 22*z\/7 + 312\/7.\nAnswer: -2*(z + 12)*(2*z - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -3*w + 808, -2*w + 4*t + 248 = -w. Let p(q) = -2*q**3 - 76*q**2 - 4*q - 119. Let v be p(-38). What is the highest common divisor of v and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z + 14. Let k be l(4). Let r(h) = -h**3 - 5*h**2 + 5. Let m be r(-5). Suppose 60 = m*c + 15. What is the greatest common divisor of k and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*q - 10*q = -418. Suppose -13*w = 9 - q. Let s(z) = 13*z**3 + z. What is s(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 706 or -3?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 51098, 204385, 459912, 817679, 1277686, 1839933?\nAnswer: 2504420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 5109193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 2*o = -8, 5*w - 26*o + 28*o = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -538 divided by 269?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -23, -15, 94, 3, 4, 5 in ascending order.\nAnswer: -23, -15, 3, 4, 5, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 3406503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -57, -225, -505, -897?\n\"Answer: -56*a**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - o - 115 = 0. Suppose 3*j - 119 = -2*g, g - 4 = -3. Let k = o + j. What is the remainder when 45 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1100111101110000000 - -101?\nAnswer: -1100111101101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 112 (base 5) in base 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3473674 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1384 divided by 1554.\nAnswer: 692\/777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the third derivative of -s**6\/120 + s**5\/20 + s**4\/3 - 7*s**3\/6 - 101*s**2. Let m be v(4). Solve 4*c + 21 = -5*n, -5*n = -0*c + c + m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -u + 87. Suppose -4*o = 5*w - 37, o = -4*w - 2*o + u. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 6*z + 5*r + 15 = 0, 0 = -z - 2*r - 66 + 81 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 0 (c) 0.0745\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 45713 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) 3910 (c) -1.5 (d) 18 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 5) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4 and 0.106863.\nAnswer: -0.0427452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*(t*t\/t**(-1))\/t)**38*t**(-3)*t\/(t*t\/(t\/(t**(-2\/5)\/t*t*t))) assuming t is positive.\nAnswer: t**(552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 16 = 3*t, -82*t = -84*t + 4*c + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (6\/28)\/(66\/(-176))*-14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in -0.081, 400, 6, 2, -2?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 15 + 38 = -5*t, 3*t - 7 = -4*i. Let s(x) = 3*x + 5. Let w be s(t). Let a = w + 12. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*z + 15 = 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -786*d*f - 174*d*g**2 + d - f*g - 13*f - 2*g**2 - 6*g + 2 wrt g?\nAnswer: -348*d*g - f - 4*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the second derivative of 8*b**3\/3 + b. Let d be s(1). Solve 2*w - 2*j = -0*w, -5*w - 3*j - d = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g**4 - 24*g**3 + 243*g**2 - 156*g - 420 = 0. Calculate g.\nAnswer: -14, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/(8\/(-4)))\/(-1). Suppose -w*j + g - 339 = 0, -804 = 3*j - g - 297. What is the common denominator of 7\/2 and 8\/28 - (-1021)\/j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r - 6*r + 2 - 1. Let h be m(1). Let a(l) = -19*l + 1. Is a(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 4*h**2 - 12*h + 1. Let x(b) = 3*b**2 - 10*b + 2. Let d(k) = -5*g(k) + 6*x(k). Let c(n) = -n. Determine c(d(l)).\nAnswer: 2*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -3 + -6 + (0 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 15*l - 17*l. Solve -2*p - 12 = a + l*a, 0 = 3*p + 2*a + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1151807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 3*x = 2782, -4*c + 3*x = 865 - 3096. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**3 + 5*z**2 - z - 3. Let b be t(4). Let q be (1 + -2)*5 - 1. Let a be (q - -8)*(-3)\/(-2). Solve 6*n - b = a*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3054?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 10, -1, -348, -2 in increasing order.\nAnswer: -348, -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h = 2*q - 32, q - 243 = 2*h - 255 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-15)\/(-6)*2*948\/5. Suppose -8*o + u = -164. List the prime factors of o.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -8*k**3 - 4892 - 15*k**3 - 130*k**2 - 2233 + 30*k**3 wrt k.\nAnswer: 21*k**2 - 260*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -328 + 332. What is the closest to 3\/5 in -2\/5, s, -3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16 divided by 445?\nAnswer: 16\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -244 in -1\/6, -35, -4, 26?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/23*l**2 - 128\/23 - 130\/23*l.\nAnswer: -2*(l + 1)*(l + 64)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 18 = -2*o + 109, 5*o - 2*u = 295. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**2. Let n = 7 + 7. Let c(g) = -g**3 + 8*g**2 + g - 4. Let j be c(8). Let y(t) = -14 + n + j*t. Give p(y(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7930*w**2 + 7935*w**2 + 7918*w**2 - 23768*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.1 + 0.071. Let z = q - 4.271. Let m = 4.338 + z. What is m rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(38)\/(sqrt(288) + sqrt(288)*2 - sqrt(288))*-5.\nAnswer: -5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 13831, 53369, 119269, 211531, 330155?\n\"Answer: 13181*f**2 - 5*f + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2926 a factor of 558087684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 2*l**2 + 13*l + 2. Let z be m(-8). What is the second derivative of -z - 61*g**5 + 26*g + 18*g**5 + 26 wrt g?\nAnswer: -860*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**3 + 1228*t**2 - 2462*t + 1232.\nAnswer: 2*(t - 1)**2*(t + 616)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1154160 divided by -5\nAnswer: -230832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 31 = -3*q, 5*g + 5*q - 3*q - 21 = 0. Suppose -5*k + 2 = -g*f + f, -12 = -k - 5*f. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-770)\/86 + (-170)\/3655?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (21 - -4) + (332 - 338)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -23654, -47368, -71046, -94688, -118294, -141864, -165398?\n\"Answer: 18*c**2 - 23768*c + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3315 a factor of 625858740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 51041311 (base 6) to base 2.\nAnswer: 101100010011101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -150191 divided by 150191.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 408 - 406. Let g be (1\/p)\/1 + 280200150\/(-300). Round g to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**3 + 332*s**2 - 797*s + 45263. Give g(330).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*x**3 - 62*x**2 + 4*x**5 + 34*x**2 + 5*x**4 + 26*x**2 = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2476327883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -4*n + r + 184, 102 = n - 3*r. Calculate the highest common divisor of n and 1440.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -3\/2*h - 15\/4*h**2 + 0 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 25*m**2 + 20*m - 7*m**2 - m**3 - 15 - 1. Let y be c(19). Find the third derivative of -3*l**y - 527*l**2 + 20*l**3 + 544*l**2 wrt l.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7\/(35\/15)*36*473\/(-946).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**1)**(-3\/13)*(i\/((i\/i**(3\/7))\/i))\/(i**(1\/9)*i))\/(i**(3\/2)*i*i*i\/i**(-2))**(-1\/23) assuming i is positive.\nAnswer: i**(13913\/37674)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 527 divide 6775973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((11 + n - 11)*(2 + 0 + 0) + 16 - 44*n - 16 - 5 + n + 4 + n - 2 + 2 + n)*((2 + 1 - 2)*(n + 4 - 4) + 2*n + 2 - 2).\nAnswer: -117*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -34829 divided by -6?\nAnswer: 34829\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56901*z**2 - 15 + 5 + 10.\nAnswer: -56901*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24313512 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 - 26*m - 22. Suppose -6*l + 2*l - 100 = 0. Let z be f(l). Let h(g) = g**3 - 4*g**2 + 2*g + 3. Calculate h(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**2 - 2. Let x be 1*-3*(-10)\/15. Suppose -b = 0, -x*a = -0*a - 4*b. Let c be z(a). Which is smaller: c or -3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jlr when three letters picked without replacement from {r: 1, l: 2, j: 1, d: 1, n: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -34*x. Let d(f) = -15*f. Let c(r) = -9*d(r) + 4*n(r). Let i(g) = g**2 - 2369*g. Determine i(c(q)).\nAnswer: q**2 + 2369*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -1569 (c) -3\/5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence flf when three letters picked without replacement from {l: 1, x: 1, f: 9}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5 + (574\/3 - 1 - 2\/6). Calculate the highest common divisor of s and 1521.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -1449*u**2 - 7*u - 20. Let z(n) = -2907*n**2 - 12*n - 35. Give 7*j(o) - 4*z(o).\nAnswer: 1485*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*(-20 + -19 + 35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*d - 4*d + 3*d)*(15*d - 15*d + 7*d**2)*(-297 + 297 - 38*d).\nAnswer: -532*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3.7, 2\/13, -1, -15, -2?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/387*8*-86*(-297)\/34056?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1572443 divided by -4?\nAnswer: -1572443\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - 3 = -11*p - 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be 83*2 + (-2)\/(-2). Let x = -118 + f. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.9 * -441\nAnswer: -396.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 51 + 3. Calculate the smallest common multiple of v and 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 541\/(-17312) + (-191)\/32.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 229 + 14 = -5*m, 4*q = 0. Let k = m - 38. Let j(i) be the first derivative of i**3\/3 - 2*i**2 + 2*i - 2. Determine j(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 + 13. Let f = -17 + b. Find the third derivative of 13*c**4 - c**4 - 5*c**4 - 3*c**2 - 4*c**f wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(-1) - (1 + 0). Suppose -6 = -r*g + 3*g. Let a = -1225 - -1228. Sort a, 1, g in ascending order.\nAnswer: g, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1326)\/33 + (2\/15 - (-208)\/4290).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**2 + 72*f - 1065. Determine y(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**2 - 18*z - 1. Let t(c) be the first derivative of 7*c**2\/2 + 7*c + 10. Let q be t(-3). Is h(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose k + 27 = 4*k. Let l be (2 + 1)*6\/k. Suppose -5*p + o + 26 = 0, 2*o + l*o + 14 = 2*p. What is the highest common factor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**2 + 7*c - 9. Let o(s) = -s + 1. Let a(l) = -3*o(l) - t(l). Let y = 15 - 11. Calculate a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -65*j + 160. Let f(k) = k**3 + 28*k**2 - 29*k - 5. Let p be f(-29). List the prime factors of l(p).\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 6*z**3 + 3*z**2 + z. Let w(a) = a**2. Let t(c) = p(c) - w(c). Let h be t(-1). Does 10 divide (-160)\/h + (-12)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2*1\/3*(-12)\/(-8). Let r(d) = 7*d**2 + 4. Let k(z) = -z**2 - 1. Calculate m*r(t) + 4*k(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1761*j - 40210 - 17279 + 8181 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - -0.2. Let b = -0.5 + 0.7. Let d = s - b. Put d, 2, 3 in ascending order.\nAnswer: d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -5785 - -947\nAnswer: -4838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 41535526 and 16?\nAnswer: 332284208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put together -57599823277.11 and -2.\nAnswer: -57599823279.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 472 = 51*c - 49*c, -u + 3*c = -155. List the prime factors of u.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -12*m + 2. Let i(h) = 1137810*h - 3. Determine l(i(b)).\nAnswer: -13653720*b + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 AM and 4:20 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1.2 times -0.03?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 71*u**2 + 594*u + 249. Determine p(-8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 3692.\nAnswer: -1\/1846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25331 is divided by 65.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be (9\/(-6))\/((-6)\/(-8)). Let z = l + -1. Let x = 6 + z. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 3 + 4 - 2 - 3 + (-2 + 0 + 1)*(2 - 3 + 0))*(-4*w - 2*w - 3*w)*(-11*w - 3*w**2 + 11*w).\nAnswer: -81*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes after 5:45 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 + -10. Let f(t) = -t**3 - 6*t**2 - 7*t - 4. Let r be f(-4). Let x = -13 - r. Sort c, -1, x in decreasing order.\nAnswer: -1, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 - (10 + -14 - -6) - (-2 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-24)*176\/(-66)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 6, d: 2, h: 4}. Give prob of picking 4 h.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract 357503.692 from -30611.\nAnswer: -388114.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and -5693.\nAnswer: -1707.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + (5 - (4 + 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -67*t**5 - 2*t**3 - 301*t wrt t?\nAnswer: -1340*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*a**2 + 11160*a**3 - 30047*a**3 + a**2 + 3*a**2.\nAnswer: -18887*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 - 6.1. Let m = c - -0.1. Put -0.1, -1, m in decreasing order.\nAnswer: -0.1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 10*k - 18. Suppose 4*d + k*m + 19094 + 2006 = 0, -4*m = 0. Let t be (d\/3)\/(284\/48 - 6). Round t to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (5 - -2)\/(-21)*1*21. Let f(a) = -9*a**3 + 7*a - 7. Let q(u) = -u**2 - 6*u - 6. Let l be q(-6). Let o(z) = 8*z**3 - 6*z + 6. Determine d*o(v) + l*f(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 57365700211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -8583837, -8583780, -8583723, -8583666, -8583609?\n\"Answer: 57*q - 8583894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -19 + 19.02. Let f = i - 0.82. Is f greater than or equal to -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 plus -0.066706?\nAnswer: -5.066706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x**2 - 3 - 18*x - 12*x + 1)*(3*x - 3*x - 4*x) + 4*x**3 + 0*x**3 - 2*x**3.\nAnswer: 10*x**3 + 120*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -6*(30\/6)\/195\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/3)\/(761\/2283).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -4, 30, 2, 3 in ascending order.\nAnswer: -4, -3, 2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -7113443? (a) 1 (b) -2\/11 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 3, -6*j = -2*j + 4*b - 4. Let h(t) be the first derivative of 3\/4*t**4 + t**3 + 0*t**j + 4 + 0*t. Determine d so that h(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-44))\/(3\/3*160\/(-1280)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -g, 55*y = -3*g + 103226 - 103287 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -4104*w**2 + 9*w + 6. Let n be b(-6). Let c = -25785 + n. Let r = c + -476423. What is r rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 3 + 271*k - 82*k - 3*k**2 - 189*k - 3. Let o(m) = 10*m + 14*m + 2*m. Calculate a(o(d)).\nAnswer: -2028*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 8601381023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w - h - 2322, 5*w - 2398 + 14001 = 2*h. Let f = -111 - w. What is f rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.744639nm to meters.\nAnswer: 0.000000009744639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 4*u - 13. Let j be (-9)\/10896*(-40856)\/u. Let k = j + -51\/227. Find the common denominator of k and -111\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.45 or -46.8834?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -46 + 4*m**2 + 6 + 33166*m**3 - 66335*m**3 - 2*m + 33171*m**3 as y + j*m**3 + l*m + a*m**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 4 = -0*c. Let t be (-14)\/(-5)*(c - -11). Find the common denominator of (-6)\/(-21) + 33\/t and -31\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/((-28)\/(-8)*(24\/(-28))\/(-2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7491.\nAnswer: 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -15775+0.3220369\nAnswer: -15774.6779631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3 - -4) + 0 + 0. Let r = 6 - 4. Let a = r + -2. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -52 - -70. Suppose -n*u + 19*u = 153. Suppose 0 = -l - 5, 2*t = 4*t - 3*l - u. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 5:53 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -11101101101000 (base 2) to base 10.\nAnswer: -15208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 7861*c - 1124*c + 4 - 10116*c.\nAnswer: -19101*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2590.5201 months in years?\nAnswer: 215.876675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15*h**5 - 30*h**3 - 2*h - 2.\nAnswer: 300*h**3 - 180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 2623 divide 432016621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**0)**(-1\/33)\/((g*g**(-2\/3))\/g**(-1)))\/(g**(-5)\/(g\/(g*g\/g**4*g*g)))**(-2\/43) assuming g is positive.\nAnswer: g**(-208\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*w + 36 = -15*w. Let s(p) = 2*p + 8. Let u be s(-6). What is the lowest common multiple of -2 + u\/6*w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -9*r**3 + 114*r**2 - 543*r + 66. Let m(l) = l**3 - 14*l**2 + 68*l - 8. Let u(q) = 33*m(q) + 4*p(q). What is c in u(c) = 0?\nAnswer: -6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.03*17.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -23 divided by -403349\nAnswer: 23\/403349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 570 - 573.99. Let r = 0.01 - h. Let d = 4.5 - r. What is the closest to 0.2 in d, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 4*t - 0*a - 11, t - 17 = -4*a. Solve -p + 6 - t = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:30 PM and 1:20 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -241210*q**3 + 65712*q**2 wrt q?\nAnswer: -1447260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23336965?\nAnswer: 5, 4667393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -14480 by -905.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 403558 is divided by 2655.\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from qeeeeeeeeeeeees.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1202 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/((o*o*(o\/(o*o**2*o))\/o*o)\/o))**(-38)\/(o**(-1)\/((o*o\/o**3)\/o))*(o**(2\/3)\/o**(-1\/3))**30 assuming o is positive.\nAnswer: o**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 2*m + 7 = 7*f, -2*f - 2*m = -2. Suppose 0*b = -4*b + 2*d + 8, 5*d = -f*b + 40. Solve 0 = -b*g + 7 + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 2*f - 8, -75 = -5*g + 3*f - 9. Suppose 12*p = 10*p + g. Suppose -3*w = -p*w + 42. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*m + m - 6*m)*(2*m**2 - 3*m**2 + 0*m**2) + 33*m**3 + 0*m**2 - m**2 - 27*m**3 + 0*m**3 + 2*m**3 + 0*m**3.\nAnswer: 9*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 12222 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8500 is divided by 8475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 109*t**3 + t**2 - t + 1. Let r be w(1). Suppose 5*m + 5*h - r = 0, h = -m - 4*h + 30. Let z = m + -10. Solve 2*p - z = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -389 (b) -17291 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**14*j**(5\/7)\/j*j)\/((j*j**(-15)\/j)\/j*j\/(j**(-18)*j)) assuming j is positive.\nAnswer: j**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 25418\/22 + 156\/(-429)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-4)\/(-2) - 52548\/(-29).\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 26*y**3 + 19*y**2 - y - 15915?\nAnswer: 78*y**2 + 38*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.2 + -0.15. Let a = 3.8 - 4.3. What is the biggest value in y, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 - 16. Let v = b - -7.3. Let f = 0.1 - v. What is the biggest value in f, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000402098 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2073*x + 2060*x = 16946*x - 83278 + 15442 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1190, -2387, -3596, -4823, -6074, -7355, -8672?\n\"Answer: -c**3 - 1190*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 144822 divided by 6?\nAnswer: 24137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2 + (-18)\/(-3) + 0. Suppose -d = -0*a - 2*a. Suppose -4*z + 16 = -a*z. What is the lowest common multiple of 9 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3\/3257756 and -29\/712.\nAnswer: 6515512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/((o\/((o**(-1\/7)\/o*o*o)\/o))\/o)*o**(-1))**(-15)*o**(-12)*o\/o**(2\/5)*o**(-5) assuming o is positive.\nAnswer: o**(-499\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:31 AM and 12:22 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3 + 1166*k**2 + 16128*k.\nAnswer: k*(k + 14)*(k + 1152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**2\/23 + 11846*a\/23 - 877200\/23.\nAnswer: -2*(a - 5848)*(a - 75)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 19 - 11. Let j(h) = h**3 + 6*h**2 + 5*h - 1. Let y be j(-3). Let o = y + u. What is the remainder when 55 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -49 divided by -120261\nAnswer: 49\/120261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence igdr when four letters picked without replacement from {d: 8, m: 4, a: 1, r: 1, i: 1, g: 1}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 774*k + 1392*k = -112632 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 7273, 5 in decreasing order.\nAnswer: 7273, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.215016 millennia to decades.\nAnswer: 821.5016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1150 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-2*13*24\/585)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 1 (b) -40 (c) 47\/5 (d) -193 (e) 0.184 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the third derivative of 23*g**6\/15 + g**5\/15 - 5*g**4\/24 + g**3\/6 + 40*g**2. Let o be m(1). What is the greatest common divisor of o and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uiuuiuuiuuu. What is prob of sequence iiiu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {n: 1, k: 10, j: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be 80\/772*1\/8. Let y = z - -1227\/2123. Find the common denominator of ((-332)\/12)\/(23\/3 - -1) and y.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 4*i = 3, 3*p + i - 9 = -p. Suppose 0 = -2*z - p*m + 431, -5*m = 2*z - 5*z + 618. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/37767674 and -39\/129430?\nAnswer: 188838370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1121 and 28025.\nAnswer: 28025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 188661 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8 - 6. Let r be f*(2 + -3) - -14. Suppose 2*l = -l + r. Sort -3, l, 3 in decreasing order.\nAnswer: l, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 186*0.4.\nAnswer: 74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -246 + 473. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -3*d**3 - 1772*d**2 + 605*d + 8317. Calculate v(-591).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 12, 1, -10, -21, -32, -43?\n\"Answer: -11*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 87*h**3 + 4*h**4 - 1 + 3*h - 42*h**3 - 43*h**3 to the form u*h**2 + t*h**4 + q*h**3 + z + p*h and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2782768 divided by -1?\nAnswer: -2782768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o = 12*o - 26*o - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*k**2 - 68*k**2 + 33*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**3 + 11*i**2 + 58*i + 262. Give t(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6 - -dd?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 - 5. Let i be 15\/(-108) + m + -1. Let b = i + 11\/144. Find the common denominator of -121\/24 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2129, 1989, 1849?\nAnswer: 1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**2 + 3*f - 3. Suppose -4*b + 10 = 2. Suppose b*y - 3 = 5. Give c(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43, -24, -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 167 - 165. Let c be 759\/184 + f\/(-16). Solve -c = 2*o + 4*s, 2*o = 4*s + 5 + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the first derivative of x**5\/15 + 7*x**4\/6 + 8*x**3 + 77*x**2\/2 - 4. Let h(t) be the second derivative of q(t). Factor h(u).\nAnswer: 4*(u + 3)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1776\/333*3\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 + 7*q**2 + 10*q - 8. Let z be j(6). Suppose 0 = -t + 43 - 32. What is the greatest common divisor of z and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*i - 78 = 3*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of c*d**2 + c*d*n**3 - 2*c*d*n + 48*d**2*n**3 + 17*n**3 wrt d.\nAnswer: 2*c + 96*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1*(3 - (1 + 1)). Let s be (-1)\/3 - 21\/(-45). Let j = -0.75 + -0.25. Which is the nearest to t? (a) 3 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 104374, 208747, 313122, 417499, 521878?\n\"Answer: q**2 + 104370*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 4*a = -f - 41, a = f + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-15)\/25 + 4992\/320\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*j - 16544 = 7*j + 115*j + 1680 for j.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17966921?\nAnswer: 7, 29, 67, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*k**2 + 761655*k + 190415 = 0. Calculate k.\nAnswer: -1\/4, 38083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/56*8*3\/(-18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.082089 microseconds to seconds.\nAnswer: 0.000000082089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, c: 3, s: 1}. Give prob of sequence csc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 29070 by 765.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = -5*b + 20. Let w = 3 - b. Suppose -2*q + 9 = -5*q. Sort 2, q, w in descending order.\nAnswer: 2, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1982055*f + 29 + 1982055*f + 27*f**2.\nAnswer: 27*f**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 50987891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 479567 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -17 (base 9) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 7 + (-121 - -122)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 143032\/31 + -4614. What is the closest to 1 in 3, -3\/4, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-23 - 21) + 49 + -26 + -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.39594t to nanograms.\nAnswer: 2395940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/t**(-3\/7))\/t)**(-47)*((t**(-3)*t)\/t)\/(t\/t**(-2\/19)))**(-7) assuming t is positive.\nAnswer: t**(3225\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.4, 4, 0.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 15) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 - 3)*(-1 + 1 + 5*o**4).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 979 by -5.\nAnswer: -979\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.1 - 1.1. Let b = -147 - -271. Let l = b + -1115\/9. What is the third smallest value in 0.4, k, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:13 PM and 4:26 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 49397177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -826 + 839. Solve 3*y - 3*q = -21, y + 0*y + 3*q - k = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*n = -63*n + 215. Suppose 3 = -3*v - 9. Sort 14, v, -1, n in ascending order.\nAnswer: v, -1, n, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, r: 1, x: 5, u: 4, w: 1}. What is prob of sequence uu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 153, 93, 33?\n\"Answer: -60*x + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-6)*(-3)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -10*(-12 - (-136467)\/(-18)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 20783715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a\/((a*a**2*a*a)\/a))**29*(a**5\/a)\/((a*a**(-1\/2)\/a)\/a))**(1\/6) assuming a is positive.\nAnswer: a**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 2*h**3 - 13*h**2 - 5*h - 8. Let d be i(7). Suppose 2*r - 3*y + 74 = 6*r, 0 = 3*y + d. Is 19 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.08 or 124?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 235534128 a multiple of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2\/7)*(x*x*x\/(x**3\/x*x))\/x)**(-2\/45)*((x\/(x**(-6)*x))\/x**5)**(-4\/15) assuming x is positive.\nAnswer: x**(-22\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 19.3 + -19. Let q = -1.55 + 0.55. What is the second smallest value in q, 9, -2, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19661*u + 23890*u + 5 - 10787*u + 9229*u.\nAnswer: 41993*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5 * 0.118483\nAnswer: -0.592415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the second derivative of -19*z**5\/20 + z**3\/2 - 3*z**2\/2 - z + 240. Let y(g) = 286*g**3 - 44*g + 44. Determine 44*v(b) + 3*y(b).\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 9320287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*x + 4. Calculate the lowest common multiple of 58 and x.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2710128 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 280, 623, 1024, 1489, 2024, 2635, 3328, 4109?\nAnswer: 4984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*x + 5*x + 2*x**2)*(4*x**3 - 47*x**3 - 21*x**3) + 12*x**5 - 5*x**5 + 5*x**5.\nAnswer: -116*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be 318\/(-66) + (-4)\/22. Is x < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 72241 and -198.\nAnswer: -14303718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(612) - 2*sqrt(612)) + -2)**2.\nAnswer: 72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence evv when three letters picked without replacement from veevvvvvveveevvvvv?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 + 4*n**2 + 22*n - 61. Let y be p(6). Let q be (-9)\/12*(-1)\/(y\/(-4)). Put 6, -6, q in ascending order.\nAnswer: -6, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 417240\/(-162)*(-45)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*h**3 + 4 - 4)*(h**2 + 3*h**2 - 2*h**2) + (3 - 3 - 2*h**4)*(4*h - 6*h - 2*h).\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -3*b**2 + b - 24. Let x(l) = -3*l**2 + 2*l - 25. Suppose 12*o - 13*o = -3. Let h(n) = o*x(n) - 4*t(n). Find the first derivative of h(m) wrt m.\nAnswer: 6*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 321*n**2 - 337*n**2 - 165 - 255.\nAnswer: -16*n**2 - 420","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 909789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.1 + -3. Let r(u) = u**3 - u**2 + 6. Let z be r(0). Let d be (-4)\/z*1\/(-2). Which is greater: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -7*k**2. Let b(o) be the first derivative of -7*o**3\/3 - 31*o + 10069. Determine x(b(r)).\nAnswer: -343*r**4 - 3038*r**2 - 6727","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 104930*y - 2203525. Calculate b(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 3 = -3*a - 0*o, a - 2*o + 3 = 0. Find the second derivative of 16*w - 14*w + 3*w**4 - a*w**3 + 3*w**3 wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 397*j + 399*j - 797*j + 6.\nAnswer: -j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - r - 4)*(-501 - 77 - 22 - 887).\nAnswer: 1487*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 17 - 28*z - 3*z + z**3 + 3*z + 8*z**2 + 12*z. Is l(-9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -224150 + 5?\nAnswer: -224141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a78 - 1a9e?\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - -9795e35?\nAnswer: 9795e30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 642 is divided by 310?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -6*b + 3. Let s(c) = -7*c + 4. Let y(l) = 4*p(l) - 3*s(l). Give y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.627 and -18581?\nAnswer: 11650.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the second derivative of 347*c**5\/20 - 18*c**3 + 3*c**2\/2 + 1776*c. Find the second derivative of i(q) wrt q.\nAnswer: 2082*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*-1*44250\/(-4425).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 386549.\nAnswer: 386549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0005223829503 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from bvbnpnppvnvbpb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 80960358 and 1179?\nAnswer: 242881074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, d: 4, h: 6, a: 1}. What is prob of picking 2 o, 1 d, and 1 a?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -39 + 49. Suppose 20 = -2*z - 4*r, -4*z + 4*r - 2 = -w. Put 3, z, -4 in increasing order.\nAnswer: -4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 9*y - 18*y - 21 + 5 - 14*y. Let w be d(-4). Let n be ((-3)\/(-6))\/(2\/w). What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000265515077 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1.1661, 11, 11\/5, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 455675*i**3 + 7*i**2 - 3*i + 1697?\nAnswer: 2734050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is (0 - -1)*-3166*(1525\/(-50) - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 2*s**2 + 2*s - 1. Let a be v(-2). Suppose 3*u + 6 = -0*u + 3*b, -u - a*b = -10. Is (-524)\/(-6) + u\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3257, 6916, 10989, 15470, 20353, 25632?\nAnswer: 31301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + -2 - (6 - 9). Let m be (-4*1\/(-16))\/((-11)\/8). Which is the second biggest value? (a) m (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45547225055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -9377925 smaller than -9377925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ozll when four letters picked without replacement from {l: 2, o: 1, v: 10, z: 2, b: 4}?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -57996022 by -7.\nAnswer: 8285146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 100626 is divided by 340?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 26.4 less than 0.4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2487168 divided by -4\nAnswer: -621792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -484 + 2128. Let v be g\/18 + (-4)\/(-6). What is the highest common factor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**2 - 6*r - 10. Let w be h(8). Let a be (-6)\/21 + (440\/14)\/5. Suppose 0*z = z. Solve z = -a*y + 3*y + w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1764846 - -2472067. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 7*b - 25. Let i be v(4). Suppose -i*q + 31 = -3*l - l, -l - 24 = -4*q. Suppose 4*f + 4 = s, 7*s - 2*s = -q*f + 20. Solve f = 3*k - k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-34)\/(-119) - (92\/77 + 1). Let f = -335\/187 - i. What is the second biggest value in 5, f, -3, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/792 or 1.97411?\nAnswer: -1\/792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.66 (b) -1455 (c) 4 (d) 0.2 (e) 2\/15 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:13 PM and 12:47 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c\/((c\/(c*c**(-1)*c))\/c)*c)**(-2\/47))**(11\/4) assuming c is positive.\nAnswer: c**(-22\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = -b + 17, b = -387*k + 385*k + 11. Let v(q) = -1122*q - 176. Let y(p) = -19*p - 3. What is k*v(d) - 176*y(d)?\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 331662 and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, 1\/6, 12, -17, 0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 55*v**2 - 3. Let f(a) = 113*a - 249*a + 66*a + 60*a. Determine q(f(y)).\nAnswer: 5500*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -155, -138, -87, 16, 189, 450, 817, 1308?\n\"Answer: 3*v**3 - v**2 - v - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 847267960 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -72, 255, 40, 0, 1 in increasing order.\nAnswer: -72, 0, 1, 40, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwwzuuwmlz. What is prob of sequence zuwu?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 196 (base 10) to base 16.\nAnswer: c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 2*d = 4, 2*b + d = -0*b - 2. Solve b = -j + 3 - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d*(d**(-4\/7)\/d*d)\/d)\/d)**(2\/53))**(-1\/6))**(8\/7) assuming d is positive.\nAnswer: d**(88\/7791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 368143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 57842 divided by 58\nAnswer: 28921\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1\/2, 4, 2.87, -54, -0.39, -3?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0004722416 to 5 decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*t**5 - 3*t**5 + 2*t**5 + (7*t**2 - 3*t**2 + 2*t**2)*(0*t + 0*t - 2*t**3).\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:44 AM and 5:34 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -558*d**3 + 190*d**3 + 176*d**3 + 186*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18 - 24) + (1 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 121 = -1. Calculate the lowest common multiple of m and 2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -31*z**4 - 37*z**3 + 8*z**2 + 37*z - 11. Let q(l) = 11*l**4 + 13*l**3 - 3*l**2 - 13*l + 4. Let k(f) = -6*n(f) - 17*q(f). Factor k(i).\nAnswer: -(i - 2)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 117 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1255660?\nAnswer: 2, 5, 7, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 371*h - 210*h - 3*h**2 + 16*h**2 - 161*h.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001670563032 rounded to 7 dps?\nAnswer: 0.0016706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -458 divided by -2\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 25, 30, 37, 46?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 2*g = 15. Suppose 60 = g*u + 2*w - 20, 0 = 4*w + 20. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 - 10*w**2 - 13*w - 2. Is 15 a factor of t(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 601184 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2362, 4807, 7176, 9469, 11686?\nAnswer: 13827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 1 + 1)*(3 - 2 + 0) - 15 + 0 + 0 + (-3 - 3 + 3)*(-3 + 1 + 3))*(-i + 2 - 2).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 642 - 3972 = -6*t. Is (16\/40)\/(1\/t) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 + 7*v - 19. Let g be y(-9). Suppose -2 = 3*z + 1. Let p be (1*z)\/(g\/2). Solve 5*h = 5*d + 20, 4*h - p + 6 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 40018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 - 3 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 728241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 - 18. What is the units digit of ((-3)\/(-2))\/(g\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.21 + -0.2. Let s = -2265.926 - -2266. Let k = a + s. Round k to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 447*o**3 + 446*o**3 + 353*o**3 + 455*o**3 - 1697*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -13*h**2 - 6*h + 2. Let u(f) = f. Let m(b) = -k(b) - 6*u(b). Let q be m(2). List the prime factors of (0 - q\/(-4))*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -47795737\/282 + 169488. Find the common denominator of (-6 + (-176)\/(-28))\/((-144)\/(-4074)) and f.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 5*k, -4*k - 5*c + 5 = -9*k. Solve 3*a - 4*s = -14, -3*s = -k*a + 3*a - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2657, -5334, -8011, -10682, -13341, -15982, -18599, -21186?\nAnswer: -23737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 9:47 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 0.8, 26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 675 and 21525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**3 + o**2 + 3*o + 4. Let s(u) = u**3 - u**2 - 3*u - 5. Let p(t) = -4*a(t) - 3*s(t). What is the least common multiple of 8 and p(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxhxhyxhyyhxxxzzx. Give prob of picking 1 z, 2 x, and 1 h.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -114 divided by -29741.\nAnswer: 114\/29741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, o: 2, d: 1, s: 2, p: 1, b: 2}. What is prob of picking 1 t and 1 o?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 2 - 3 - 52*i**2 + 0. Let b be l(-1). Suppose 172*a - 1134 = 193*a. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 133421 is divided by 133411.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -m**2 + 3*m**2 - 3*m**2 + (4*m + 0*m - 11*m)*(-5*m + m + 2*m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s + 6. Suppose 17*x = 22*x + 20. Let g be l(x). Let u(j) = -g*j + 21 + 12 - 24. Calculate u(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 132526619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 666 and 1062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/88 and -31\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 5*((-16)\/(-60))\/(4\/(-6)) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.1536 - 33.8464. Which is smaller: g or -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 339353297?\nAnswer: 109, 3113333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 32 - 28. Suppose 0 = 4*p - 7*p + 5*q + 15, 20 = h*p - q. Suppose 10*y = p*y + 220. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((sqrt(1080)*2*5)\/(sqrt(30)\/((sqrt(30)\/(sqrt(6) - sqrt(54) - sqrt(6)) - sqrt(5)) + sqrt(5))))**2.\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r - 2*r + 2*r)*(3600 - 2053 - 2182) + 0 - 2*r + 0.\nAnswer: 2538*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 67300 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 92 = -2*o - 23*x, 2352*o - 4*x - 16 = 2349*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 2*d - 295 = -7*d, -4*f - 4*d - 212 = 0. Let u = 117 + f. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f - 26 + 2882 = 0. Let w = 456 - f. Calculate the lowest common multiple of w and 55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 - 12)*(-2*p**3 - p**3 - 2*p**3 - 2*p + p**3 + 2*p + (5*p - 3*p - 3*p)*(-p**2 + 2*p**2 + p**2) - 4*p**3 + 0*p**3 + 2*p**3 - p**2 + p**2 - 2*p**3).\nAnswer: 110*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sjt when three letters picked without replacement from stsftsssfjtftsst?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 48\/64*4 + 12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + -1656a397?\nAnswer: -1656a392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q**5\/11 - 130226*q**4\/11 + 2846662238*q**3\/11 - 21322332921614*q**2\/11 + 9446106424499672*q\/11 - 18806946288527240\/11 = 0. What is q?\nAnswer: 2, 470, 21547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/24*(-10)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the second derivative of 2\/3*o**3 + 6 + 0*o**2 + o. Let k(f) = 72*f. What is y(k(j))?\nAnswer: 288*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48*j - 30*j + 93*j**2 + 143*j - 31*j.\nAnswer: 93*j**2 + 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from eedeeettettet.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iiih when four letters picked without replacement from xsikspphskpkixiki.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 387.47 - 387. Which is the second smallest value? (a) 0 (b) -0.5 (c) l (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 - 13. Let m be 2\/7 + y\/21. Let f = -0.3 - -0.2. What is the nearest to f in -3, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes before 5:31 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = 2*i + t - 68, t + 76 = 3*i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*y - 161 = -57*y - 1871 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 19\/1999460 and -21\/17195356.\nAnswer: 85976780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**3 - 5*y**2 - 10*y + 4. Determine a(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 472165 > 472164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -49 - -52. Let v(g) = -2*g - 5. Let q be v(-5). Put -4, m, q in ascending order.\nAnswer: -4, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 116 and 171796.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yppprjpppjpypppyppp. What is prob of sequence jyr?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 38a0457 - -3?\nAnswer: 38a045a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -1\/2*a**2 - 3\/2*a - 1 = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 5*g + 8 = 0, -4*v - 3*g = -4*g + 25. Let b be (6\/(-8))\/((-6)\/(-24)). What is the third biggest value in 1\/5, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1077*h**2 + 468*h - 468*h + (12 - 4*h**2 - 12)*(1 - 5 + 3) + (4 - 1 - 5)*(-2 + 2 + 2*h**2) - 2*h**2 - 2*h**2 + 3*h**2 - 3*h**2 + 4*h**2 + h**2.\nAnswer: 1078*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hkhghhkhrhgk. Give prob of picking 3 k.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 + 7*f - 10. Let y be b(-8). Let x = -187 - y. Let s = x + 81. Do 23 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -3*m**2 - 4*m - 5. Determine x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gwwosgwwgozw. Give prob of sequence wwoo.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 61582397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7335004*p**2*r*u - 438*p*r*u - 19*p*r + 3*p*u - p wrt p?\nAnswer: -14670008*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d**4 + 128*d**3 + 1172*d**2 + 3688*d + 3648 = 0. Calculate d.\nAnswer: -19, -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -58fd (base 16) in base 15?\nAnswer: -6b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -168, -336, -504, -672?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 39183.7 decades to months.\nAnswer: 4702044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 2*u**2 + 2*u + 2. Let k(y) = -2*y - 5*y**2 - 2 - 4 - 4*y + 4*y**2. Let g be k(-4). Suppose -2 = -r + g*r. Determine q(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 11:39 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**3 + 9*o**2 + 7*o - 4. Calculate w(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1956185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-6 - 10) - -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -5*c + 29, -2*b + 229 = 3*b - 3*c. Suppose 5*s - 340 = 5*g, s + 3*g - b = 20. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-26)\/(g**24\/g)*(g**(2\/7))**(-2\/133) assuming g is positive.\nAnswer: g**(-45623\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7? (a) -6\/247 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 238975920?\nAnswer: 2, 3, 5, 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 82\/41*(-8)\/(-272)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -187\/480 and -53\/2208.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.4 (c) -9 (d) 2\/3 (e) 2\/7 (f) -1.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/4 and (2\/(88\/174))\/(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 5*v + 16 = 0, s + 4*v - 19 = 0. Let 17*u**3 + 5*u**2 + 12*u**5 - 26*u**3 + 4*u**2 - 27*u**4 - 21*u**s = 0. What is u?\nAnswer: -1, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 8047 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (21\/(-38))\/(3605\/(-2060))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -6745440 divided by 11960\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**3 + 13*c**2 + 13*c - 8. Let z be r(-12). Let i = z - -31. Let u = -5 + 11. What is the lowest common multiple of u and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 133458.\nAnswer: 2, 3, 13, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 243 = -3*z + 161*d - 210, 4*z - 55 = -5*d for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1113.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -118\/49 + -799\/49. Let p = d + 19. Solve -2\/7*o**4 + 2\/7*o**2 + 2\/7*o**3 + 0 - p*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5\/(-2) - (-3)\/6. Calculate the remainder when (-3 - h)\/1 - -22 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s = -123*m - 1109, -3*m + 5*s - 1 = s + s + 23 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -129*y - 5205 = -123*y + 123*y - 432 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p + 0 + 0*p - 1)*(-p**3 - p**3 - p**3 + (3 - 1 - 1)*(12*p**3 + 39 - 39)).\nAnswer: 18*p**4 - 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 928*i + 84484. Give m(-90).\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 36225 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/2150889 and 59\/10959.\nAnswer: 604399809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 11668*y - 5810671. Give s(498).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2234 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.240715 plus 1487987808?\nAnswer: 1487987807.759285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -2*j**3 - 14*j**2 + 2*j - 7. Let z be g(-7). What is the third biggest value in 11, 5\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a = -44 + 2. Suppose a = 10*n - 7*n. Solve -l = -4*k + l - 4, -n*k - l - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + d + 2*d - 315 = 0, 2*k + d = -319. Let n = k - -234. Let v = n - -4. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.02233 to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17 + 20. Suppose -6 - 12 = -u*a. Let q(j) = j + 5. What is the lowest common multiple of a and q(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k + 7. Let o be g(0). Suppose -o = -2*a - 1. What is the second derivative of 3*u**a + 2*u - 2*u + 3*u wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = r + d - 2, -3*r - 4*d + 6 = 0. Suppose s + l = 5*s - 17, r*l + 6 = s. Solve -12 = -s*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (3 + 0 + -2)*0. Is 9*19 + -2 + u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 106*x + 69*x + 25*x - 3517200. List the prime factors of x.\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 6 = 5*v, 4*v + 2 = 5*h - 13. Let d(p) = -p**3 - 2*p**2 - 4*p - 3. Let x be d(-3). Solve 2*n - x = -5*c + 2, v = -n - c + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 18, -3, 0.1, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-3*1\/3)\/((110\/(-70))\/11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11003 - 232?\nAnswer: -11301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**2 + 11*v + 44. Let p(i) = -18*i - 75. Let h be p(-4). Calculate the lowest common multiple of 25 and k(h).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/4 - -2) + 3\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -2)*(-9 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (8\/(-6))\/((-8)\/(-12)). Calculate the least common multiple of (-10 - -8)*2*i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.26 + 35.34. Let u = 38 - l. Let z = -35.1 + 35.2. Sort 3, z, u, 0.3.\nAnswer: z, 0.3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(34)\/sqrt(2) + -1 - (-3 + sqrt(272)) - (3 + (sqrt(425) + -3 + sqrt(425))**2)) + 1)*1.\nAnswer: -1709 + 57*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -2*n. Let k be b(-2). Suppose -x + s + 2 = 0, 5 + 3 = k*x - 3*s. Suppose 15 = 3*h, -3*j - x*h - 38 = -4*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - (-1 - -7) - -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 7419 by -23.\nAnswer: -7419\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5424327 is divided by 182.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -0*q - 2*h - 6, -5*q + 15 = -5*h. Solve q = -3*k - 0 + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 47\/10, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 PM and 1:48 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 143 a factor of 423017309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 0*n - 3*n + 23 + 4*n + n. Let k be o(-10). Suppose -m + k*m = 142. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 93\/40 and 19\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7 or 187161?\nAnswer: 187161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1060*r**3 - 517*r**3 - 522*r**3.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 408237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.05, -3\/7, 14321.3.\nAnswer: -3\/7, 0.05, 14321.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -1210*c + 161. Is f(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 123 (base 4) to base 15\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -31 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -19708.9, 16.9, 0.5?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**2 + 18*h - 34. Let c be q(-19). Let z(r) = 2*r + 34. Let w be z(c). Let m(i) = -3 + 2 + 7*i**2 - 2 + w. What is m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -3, -1, 7045615.\nAnswer: -3, -1, 0, 7045615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22494.\nAnswer: 2, 3, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60490 is divided by 5494.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114*h - 12296 = -122*h. Calculate the greatest common divisor of h and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3 - 5)*(0*a**2 + 3*a**2 + a**2)*(-8 + 3 + 2).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -48, 489, 1598, 3267, 5484?\nAnswer: 8237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pwp. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be 175\/20*4 + 0. Suppose 72*m - 67*m = p. Let c(s) = s**3 - 8*s**2 + 4*s + 6. What is c(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 44, 22, -14, -70, -152, -266?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 255270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -24 (base 13) to base 9\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 2*r - t, 6*t + 25 = 11*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 7*v + 6. Let b(o) = -7*o - 5. Calculate 5*a(t) + 6*b(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -7*s**2 + 3*s - 4. Let u be k(-4). Let y be -2*1 + u\/(-45). Let f = 13\/9 - y. What is the nearest to -3 in 3, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 - 6 = -5*q. Put 48, 5, q in decreasing order.\nAnswer: 48, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -146 - (8 - (-22 - -101) - -32)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 5:26 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 3*f, 2*w - 161 = -2*w + 3*f. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 p, and 2 z when four letters picked without replacement from ghmgmgzhzgggzgpmgeg.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*-2*sqrt(112))\/sqrt(2))\/((-5*sqrt(32)\/sqrt(4) - sqrt(8))*-6).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 21440 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/10 - (-1848)\/660. Solve -4*o - 9 = -h*b + 20, 4*b - o = 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 4*k + 3. Calculate x(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1915*w - 667425 = 1890*w. Is 90 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u - 4. Let l be g(8). Suppose 0 = -5*v - 15, 4*v - 278 = -l*q + 34. Calculate the remainder when q is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.072 and -0.2.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -23503, 5, -4.\nAnswer: -23503, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-141520*n - 143775*n + 278528*n)*(-2*n - 3 + 3) to the form p*n + y + c*n**2 and give c.\nAnswer: 13534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 367*x + 143*x = 754*x + 28564 - 5872 for x.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.39 - -0.359. Let f = h - 0.018. What is f rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 688 and 78701352?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -29, -39, -49?\n\"Answer: -10*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 28240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48 + 72702\/(-3822) + -29.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -253, -1912, -6411, -15172, -29617?\n\"Answer: -237*p**3 + 2*p**2 - 6*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/4512 and -127\/12?\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) -3\/46 (c) 12 (d) 2\/19 (e) -0.2 (f) 1 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 3 s when four letters picked without replacement from {n: 3, s: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes after 6:59 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 28.8, -9, 14, 1\/3, 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 45814478 to the power of 1\/2, to the nearest integer?\nAnswer: 6769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.24 - 51.76. Let y = 49 + u. What is the closest to 1 in y, 7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 10195902 and -1.5?\nAnswer: 10195903.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes after 6:46 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**3*m*m*m**(-1\/3)*(m\/(m**(-1)\/m))\/m*m*m\/m**(1\/4))**(-6))**(-21\/8) assuming m is positive.\nAnswer: m**(2121\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 159 - -1270.829?\nAnswer: 1429.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*p = 60 + 348. Suppose -p*w = c - 30*w - 91, 15 = 3*w. Solve -70 = -s - c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h**4 - 264*h**3 + 8426*h**2 + 20100*h - 71824 = 0. Calculate h.\nAnswer: -4, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 + 6*x**2 + 4. Let c be v(-6). Suppose 2*j = 2 + c. Calculate the remainder when 10 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u - 6. Let f be l(-7). Is f less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 22 and 60038.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -108*k = -116*k + 4008. Let u = k + -1501\/3. Factor 2\/3*d + 2\/3 + u*d**5 + 2\/3*d**4 - 4\/3*d**2 - 4\/3*d**3.\nAnswer: 2*(d - 1)**2*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 2*t + 2. Calculate u(-13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-330)\/(-40) - 4\/6 and -73\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.165 - 0.02. Let i = o - 0.145. Which is the biggest value? (a) i (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2937421, 2937424, 2937429, 2937436?\nAnswer: 2937445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (w**4 + w**4 - 3*w**4)*(-5 - 3*w + 5) + 0*w**5 - 2*w**5 + w**5 + (-w + w - w**2)*(87*w**3 - 346*w**2 + 346*w**2).\nAnswer: -85*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1300) + 2 + 1 + (sqrt(1300)*-1*4 - sqrt(1300)))**2.\nAnswer: -240*sqrt(13) + 20809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-4) + 3\/(-6). Let p(k) = 2*k + 1 - 3*k + k**2 + 0*k**2 - 3. Let j(x) = 1. Let s(h) = y*p(h) - 2*j(h). Factor s(q).\nAnswer: -q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -17*s**3 + s**2 - s. Let q be i(-1). Solve q = 5*r - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2918085*c + 5217525 with respect to c.\nAnswer: -2918085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xqxqqipimqxqpqupiuq. Give prob of picking 1 x and 2 u.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 + 12*w**2 - 20*w. Let j be x(10). Let u be (j - 1 - 1) + -102. Let b = 193 + u. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (7020\/728)\/((-264)\/(-1232))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -140*s - 641. Calculate p(-7).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**5 - 8*f**4 - 20*f**3 - 16*f**2.\nAnswer: -f**2*(f + 2)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 60 and 264?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 21, -181, -0.22 in increasing order.\nAnswer: -181, -1, -0.22, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 84 divide 2872716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7648 divided by 23281.\nAnswer: 7648\/23281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:32 PM and 10:23 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 1)*(4*t**2 - 5*t**2 + 0*t**2) - 2*t - t**2 + 2*t + 2*t**2 + 13 - 13 + (2 + 2*t**2 - 2)*(-2 - 4 + 1).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -131 in 2\/5, -0.04, 1.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5788*a**5 - 12*a**3 + 5*a**3 - 586*a - 5792*a**5 wrt a.\nAnswer: -80*a**3 - 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 119\/49 - (-4)\/7. Suppose -3*p + q*t + 0*t + 12059994 = 0, -p = -4*t - 4019992. What is p rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -611*p**3 - 1 + 1 + 309*p**3 + 307*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7 - -10. Suppose 2 = s + w, 5 = 4*s - h*w + 4*w. What is the units digit of 2\/s*(-55)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/8*(-1 + -51). Let w = 37163 - 37167. What is the third smallest value in a, -1, w, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**2 - 8*c + 8. Let y be d(-7). Let g = y - 10. Suppose -2*i = 10, -2*o + g*i = o - 13. What is o rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 151 = -3*h - 0*h, -h - a + 52 = 0. What is the third derivative of f**4 - h*f + 51*f + 6*f**2 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/7 - (-12 + 355\/35). Solve -9 = 5*t - n*r + r, 0 = 4*t + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20213032 (base 4) in base 12?\nAnswer: 184ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 37 and -0.4?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 11\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2 and 149?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*b = -32*b - 2. Solve -3*j + b*s - 3*s = 16, -4*s + 21 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -37\/9 or -13?\nAnswer: -37\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 2 w when four letters picked without replacement from {j: 8, w: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 3*l - 2*l - 5*l - l**2 - 2*l + 2. Let q(y) = y**2 - y + 1. Give -4*q(z) + r(z).\nAnswer: -5*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = -q + 1124 - 243, 3*r = 2*q + 526. Solve -38*c + 60*c + r = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6378 - -6451. What is the remainder when r is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 214*f**2 - 3*f - 108. Let l(o) = -1500*o**2 + 20*o + 755. Let s(w) = 20*i(w) + 3*l(w). What is the first derivative of s(z) wrt z?\nAnswer: -440*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -26 - (117 - 1 - (-1645 - -1696)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 11\/3 - -7*8\/168. Solve -16 = 4*g - s, n*g - 5*s = g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = -0*v + 1470. Suppose -4*w - 38 = -v. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the second derivative of -4*i**3\/3 - i**2 + 3*i. Is b(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1\/3 - (-1148)\/21)*3. Suppose 0 = 172*g - b*g - 18053. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 - -27. Suppose 2*z - n = z. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2.513447042 + 18.278573328. Let a = -69.20798109 - d. Let k = a + 90. Round k to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 106*a - 58*a = 36*a + 178776. List the prime factors of a.\nAnswer: 2, 3, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.001225 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 1, y: 4, u: 4, v: 1, c: 3, g: 2}. Give prob of sequence gudv.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = w + 4*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -9798, -77603, -261642, -620031, -1210886?\n\"Answer: -9686*h**3 - h**2 - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72 is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -2 * -1.03\nAnswer: 2.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be -4 - (294\/(-8) - 16\/64). Calculate the remainder when 69 is divided by (2 - 2*(-2)\/(-3))*g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -54323, -54309, -54297, -54287, -54279, -54273?\n\"Answer: -b**2 + 17*b - 54339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 90031125 to the power of 1\/2, to the nearest integer?\nAnswer: 9488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (26\/(-6))\/(130\/6 + -22)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = y - 4*y. Let a = 1 - -1. Suppose 8 = 3*q - a*q. Calculate the lowest common multiple of q and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 4*q = -20, 5*u + 4 - 17 = -q. Solve -u*b = -5*x + 20, 5*b + 0*b + 21 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 31*m + 4. Suppose -5*u + 7 = -4*u. Let v be x(u). Suppose -v = -3*a + 52. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (219 - 219 - 5*d)*(d - 3*d + d - 1) in the form x*d + q*d**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(7))*4 - sqrt(7)) + -4*(sqrt(7) + -1*sqrt(7) - sqrt(7))**2.\nAnswer: -24 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16 and (-10)\/(-30) + 110\/48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.23 - 1.53. Let x = -0.19 - -0.49. What is the nearest to 0.2 in x, 2\/3, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42*w**2 - 1 + 202*w**2 - 11*w**2.\nAnswer: 149*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 387512, 387451, 387390?\n\"Answer: -61*t + 387573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5349*u + 15 = h + 5353*u, 0 = 5*h - 2*u - 53 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -107 (b) 0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the first derivative of -3*n**2\/2 - 7*n + 37. Let r = 78 - 73. Calculate o(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmme when four letters picked without replacement from memmemem?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-715)\/33)\/((60\/(-18))\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -287 by -2.\nAnswer: 287\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9 - (-58 - (-60)\/(-12)) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 14\/5? (a) -0.2 (b) 4 (c) -0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4220244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes after 9:10 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2752295832.\nAnswer: 2, 3, 11, 13, 267317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 169*a = 167*a + 10. Suppose -5*d = 4*c - 2764, 2*d - 10*c - 1132 = -a*c. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1066 = 81*v + 94. Calculate the lowest common multiple of 88 and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 708 - 668. Solve 104*b = 96*b + l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (g + 0 + 0)*(3 - 2 + 1) + (g - 2*g + 2*g)*(-2 - 2 + 3) + 1 - 1 + 2*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -139291 divided by 2.\nAnswer: -139291\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -5*f - 7. What is the common denominator of 11\/4 and s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -221864902 divided by 4\nAnswer: -110932451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 4*a + 4 = 0, -14 = -2*c - a - 2*a. Suppose 4 = -c*t + 16. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24 - 33*a**3 - 318242*a + 318394*a + 26.\nAnswer: -33*a**3 + 152*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -27991 (base 11) in base 3?\nAnswer: -2000120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1695*z**4 - 266*z + 2*z**2 - 65*z**4 - 1293*z**4 + 52*z wrt z?\nAnswer: -73272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 99348 and 128571.\nAnswer: 250456308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 - 11 - 25*p**2 - p.\nAnswer: -25*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5971925 is divided by 110591?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 253*r*x**2 + 101*r*x + 44*x**2 + 359*x wrt x?\nAnswer: 506*r + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.024 - -12.024. Let d = -17.2 - f. What is d rounded to 0 dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -c + 65*c**2 - 225*c**2 + c + 159*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.36 + -0.92. Let m = u - -0.06. Suppose 1142*k + 4*n + 36 = 1137*k, 24 = -5*k - n. What is the nearest to -0.1 in m, 3, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4.55 + -93.45. Sort s, -8, 2.\nAnswer: s, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11592 divided by 215.\nAnswer: -11592\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 - 2657*i + 165945. Determine m(64).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1.0526172 months in years?\nAnswer: 0.0877181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the first derivative of 0*u**4 + 0*u**6 + 0*u**3 + 0*u**2 + 1\/20*u**5 - 3*u - 1\/42*u**7 + 3. Let q(k) be the first derivative of j(k). Factor q(m).\nAnswer: -m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(192) - 3*sqrt(192)*-2)\/((sqrt(84)\/sqrt(3))\/sqrt(7)))**2.\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f. Let v = -61 + 64. Let o be 552\/18*v\/2. Let d(h) = -o*h - 48*h + 97*h. What is s(d(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6 + 62. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -24 - -14. Let x = m + 20. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -200 - -107. Let t be (-10*1)\/(6\/a)*-4. Round t to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58*h**2 - 35*h**2 + 51*h**2 + 59*h**2 + 55*h**2 - 189*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 125*n**5 - 4*n**4 + 71*n**2 - 3.\nAnswer: 7500*n**2 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 612704?\nAnswer: 2, 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*b + 69 = -5*x, -2*x - 578*b + 580*b = 48 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 123\/3 - 56\/7 and 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**2 + 2*p + 31. Let j be k(7). Let c be 169\/(-130) + (-6)\/j. Let n = 3 + 2. What is the third smallest value in c, -2\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 1778944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -c4d9 (base 14) to base 10\nAnswer: -33903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -10*s. Let f(u) = 37 - u - 37. Give q(f(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + y + 3*b + 16 = 0, -4*y = 5*b + 92. Sort y, -2, -4.\nAnswer: y, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((54\/(-26))\/9)\/1?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-20)\/(-260))\/(1\/377)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 263*l**2 - l + 9. Let c(m) = -527*m**2 + m - 17. Let y(g) = -3*c(g) - 5*i(g). What is the hundreds digit of y(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/1141830 and -35\/50748?\nAnswer: 2283660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -10\/11, -0.3 in increasing order.\nAnswer: -10\/11, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 - (-13 + 16 + -4 + (-4 - -5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*j + 47*j = 183*j + 90*j + 6314 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1105 - -3775. Calculate the greatest common factor of 267 and x.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 419 and -1.\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 + 15*b**2 - 3*b - 2. Is 19 a factor of d(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (17694\/1260 - 14)*56\/21\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 126*u + 122*u - 94 = 0, -6*k - u = -136. What is the least common multiple of k and 770?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 351 a factor of 439975692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 849 = 5*n - 0*n, 429 = 2*t - n. Let m = t - 210. Solve m*z + 6 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*r**4\/9 + 2*r**3\/9.\nAnswer: 2*r**3*(4*r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2 smaller than 4271008\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 22, 32, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -33 + 33. Let d(p) = p**3 - p**2 - 2*p + 4. Let k be d(i). Suppose -3*n + 8 = l, 5*l = -3*n - 0*n + 28. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 96 - x**3 + x + x**2 + 0*x**3 - 95. Let w(m) = -4*m**3 + 7*m**2 + 4*m + 6. What is -6*d(t) + w(t)?\nAnswer: 2*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.2 or -5803635?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum 189.3 and -143379.\nAnswer: -143189.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 4*y = 0. Let d = 33 - 7. Let o = 27 - d. What is the smallest value in y, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -263*u + 308*u + 36. Put 20\/11, u, 0.4, -0.1, -0.4 in ascending order.\nAnswer: u, -0.4, -0.1, 0.4, 20\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v - 5*v - 315300. What is v rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 0.51, 0, -8 in ascending order.\nAnswer: -8, -0.3, 0, 0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 6.4, 0.04, -0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 208322496329\/2880 - 72334201. Let f = -1\/320 + z. What is the common denominator of -11\/3 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3\/10 - 4\/5. Let j = 0.91 - 0.11. Let b = j + 0.2. Sort 1\/3, b, y.\nAnswer: y, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 163 = -k + 940, 0 = 3*y + k - 1165. Let d = 388 - y. Which is greater: d or 34\/35?\nAnswer: 34\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1\/6 (b) -295 (c) -0.3 (d) -3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.066, 2\/7, -1, -42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1974690.\nAnswer: 2, 3, 5, 37, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*a**4 - 2*a**4 - 3*a**4 + (2*a**3 - 4*a**3 + 0*a**3)*(-11*a + 18*a + 11*a).\nAnswer: -37*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 2*q**3 - 45*q**2 - 16*q + 28. Let s be j(22). Let d = s - -6731. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-280)\/(-1)*(-3)\/12*2652\/(-1768)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.086 + -1.3.\nAnswer: -1.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the second derivative of 1\/285*y**6 + 2 - 3\/19*y**2 - 3\/95*y**5 - 7\/57*y**4 - 11\/57*y**3 + 1\/399*y**7 - 32*y. Determine m so that s(m) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2543 = -3*d + c, 2*d = -3*d - 5*c - 4265. Let f = 1710 + d. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18106925003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:14 PM and 10:53 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 29*a - 4. Let b be x(4). Let f = 2608 + -2580. What is the greatest common factor of f and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -65*l**4 + 26 + 14 - 3*l**2 - 54 + 30 wrt l?\nAnswer: -1560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 60*s - 4*s**4 - s**3 + 62*s - 1 - 130*s + 0*s**4 in the form n*s + a*s**4 + y + k*s**2 + x*s**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 21*p**3\/8 - 249*p**2\/4 + 318*p + 96.\nAnswer: 3*(p - 16)*(p - 8)*(7*p + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be (64\/5)\/(-2 + 64\/30). Suppose 0 = 22*l - 37*l + 360. Calculate the highest common factor of k and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j - 1 + 1)*(2 + 4*j - 2) + (0 + 2*j + 0)*(2*j + 2*j - 2*j) - 4*j**2 - 2*j**2 + 3*j**2 - 5*j**2 + 4*j**2 + 3*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 2 and -11978.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 34*n**2. Let h(d) = -10*d + 72. Let m be h(6). Let p(k) = -2 - m*k - 6*k + 14*k + 2. What is j(p(q))?\nAnswer: 544*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the first derivative of -x**6\/6 + x**2\/2 - 2. What is the second derivative of d(k) wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighty-one halves of a decade in years?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-22)\/(-4)*(-135)\/(-330)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 0 - 2)*(4*s - 4*s - s - 2*s + 3 - 3 + (-5*s + 3*s + 4*s)*(2 - 2 + 2) - 7*s - 1 + 1).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2754) - ((sqrt(2754) - -2*sqrt(2754))*-5 - sqrt(2754))) + -4*(sqrt(2754) - -2*sqrt(2754)))\/(-3*sqrt(32) - sqrt(18)*1) + -1.\nAnswer: -3*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -4, 2\/17, 1, -1890?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 60681?\nAnswer: 3, 113, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2037, -1060, 599, 2940, 5963, 9668?\n\"Answer: 341*b**2 - 46*b - 2332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-5) + (-2821216)\/(-360). Let h = m - 7845. Calculate the common denominator of 3\/7 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvevegev. What is prob of picking 2 v and 2 e?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, -112, -4 in descending order.\nAnswer: 0, -4, -5, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -249467 divided by -2?\nAnswer: 249467\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - -1) + (62 - 56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1.77 + 143157\nAnswer: 143158.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 5, g: 14}. What is prob of picking 2 j and 2 g?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1751 - -1754. What is the remainder when 93 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -112*v + 42*v + 1120 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add together -48843126965 and -0.42.\nAnswer: -48843126965.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the third derivative of -19*d**4\/24 + d**3\/6 - 92*d**2 + d + 1. Determine i(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 0 - 4 - 7*z**2 + 14*z**2 + 5 + 3*z. Is j(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1313532)\/961)\/(-44) + -31.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 12 (c) -0.085676 (d) 2\/3 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*l - 2*l - 2*l + (-2 + 2 + 2*l)*(4 + 0 + 2) + 1 - 2*l - 1 - 3 + 3 + 2*l + (-2*l + 0*l + 4*l)*(-6 + 2 - 3).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**2 + 6*s + 10. Let i(o) = o + 3. Let n be i(-3). Let p be n + 1 + (0 - 8). List the prime factors of h(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.02608 - 5001\nAnswer: -5000.97392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 3*f**2 - 142*f - 2331. Let h be p(-13). Solve 4*j - j = -2*o - 16, h = -3*o - 4*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -45, 879, 3533, 8781, 17487, 30515, 48729, 72993?\nAnswer: 104171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4122.1458 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -4*c**3 - 28*c**2 - 67*c - 51. Let y(m) = 12*m**3 + 84*m**2 + 200*m + 152. Let u(g) = -8*n(g) - 3*y(g). Determine f, given that u(f) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15 - -30. Calculate the highest common divisor of 105 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -28 + 48. Let l = k - -92. Let x = -30 + l. List the prime factors of x.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q + 2 - 2)*(0 + 0 + 1)*(3 - 93 - 15) - 2*q - 2*q + 3*q - 4 + 4 + 2*q.\nAnswer: -209*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5374490*4.\nAnswer: 21497960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13005657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-7 - -12) + 60\/(-16). Which is the fourth smallest value? (a) -4 (b) y (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 454 - 83. Let s = q - -413. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from onnwi. What is prob of picking 2 n and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -486964 divided by 121741.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 5292, 12894, 20496?\n\"Answer: 7602*f - 2310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + x + 9 = -2*x, 0 = d + 4*x - 7. Factor -72*n - 6 - 2 + 6*n**d - 26*n**3 + 16 - 78*n**2.\nAnswer: -2*(n + 2)**2*(10*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -1\/19, -2\/9, -3?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -149*l + 144*l - 40 = -4*v, -l = -v + 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvoiviigvvoovoviiov. What is prob of sequence iivo?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p**2\/11 - 6508*p\/11 - 5294258\/11 = 0. Calculate p.\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 54 + -40. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*s + 226 + 7718 = -78*s + 153 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-2 - -13) + 31 + -26 + (-13 - -30)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of -o**7\/945 - 2*o**6\/135 - 2*o**5\/45 - 3*o**2. Find q, given that d(q) = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2178\/110 + -20)*(-12)\/9.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the second derivative of a**4\/12 - a**2\/2 + 7*a. Factor z(u).\nAnswer: (u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -155*w - 3716. Let j be d(-24). Let c(g) be the second derivative of -16*g + 0 - 3\/20*g**5 + g**3 + 1\/4*g**j + 0*g**2. Solve c(i) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**2 + 4*d + 3. Let u be k(-4). Solve -12 = u*a - 7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from qgghg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 4*z**2 - 20*z - 18. Let l(u) = u**2 - 3. Let f(c) = -k(c) + 5*l(c). What is f(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of 2*u**3 - 9*u**2 - u - 84. What is j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2\/(-8))\/(-1) - 1156\/16. Let o = s + 38. Let k = -28 - o. Solve p = -p + k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = n - 3*n + 18, 5*x - 2*n + 82 = 0. Let w = x - -47. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -1 + 2*d**2 + 2*d**2 - d**2 - 2*d. Suppose p = -2*v - 5, -4*v - 17 = -2*p - 3*p. Suppose y + 4*l + p = -0*l, -5 = 5*y + 2*l. Determine x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15 - 11. Suppose 3*s + 2 = -r. Calculate the remainder when 13 + -3*s\/6 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 6*f - 1. Let m = 289 - 197. Suppose -5*w - 3*x + m = x, -4*w + 3*x + 86 = 0. What is the remainder when w is divided by c(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*b - 425 = -31*b. Let m = b - -86. Which is smaller: 3\/40 or m?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4300.572 litres in millilitres?\nAnswer: 4300572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 0*c - n + 15 = 0, -3*n = 4*c - 20. Suppose -1481 = -c*h + 184. Suppose -4*l = 101 - h. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.006154 rounded to four dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -3*p**3 + p + 1. Let h(z) = -16*z**3 + 51*z**2 - 142*z + 149. Let y(d) = h(d) - 5*i(d). Let a be y(48). Solve a = -5*c + 9 - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 8) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 53 (base 10) to base 11.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -2*r**3 - 8*r**2 - 6. Suppose 5*j - 49 = 3*v, -26 - 8 = -4*j + 5*v. Let o be 1\/((j\/55)\/((-12)\/10)). Does 23 divide n(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -19 (b) -5 (c) -485 (d) -3\/14 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**2 + 249*f - 2778. Give m(237).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 10*k - 9. Suppose 4 = -3*i + 16. Let w be v(i). Let u = w + -21. What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1684*w**2 - 2013*w.\nAnswer: -3368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/16 in -5, 193.0437, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -1051*f. Let u(c) = -10*c**2. Determine u(q(a)).\nAnswer: -11046010*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 644 (base 9) to base 5.\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2121221 - -1111110?\nAnswer: -1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11.0539 + 9.304. What is r rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.12 + 0.02. Let l = -29\/6 - -221\/42. What is the closest to -3 in l, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20 - 20220200020121?\nAnswer: -20220200020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1232773033 - 2?\nAnswer: -1232773035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = -7*n + 8*n. Suppose 2*f + 5*v + 0*v = -n, -3*f - 4*v - 41 = 0. Is -2 - 7\/(f\/81) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -48, -55, -66, -81, -100?\n\"Answer: -2*j**2 - j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8 - -8.3. Let h = 0 + 2. Which is the nearest to u? (a) h (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -144 = -2*o - 2*n, -n - 3*n + 12 = 0. Is o a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(7\/3)\/t*t\/(((t*t\/(t\/((t*t**(-1\/8)\/t)\/t)))\/t)\/t*t)*(t*t\/((t**(-11)*t*t)\/t))\/t**(2\/39) assuming t is positive.\nAnswer: t**(4807\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**(-6)\/s)\/(s\/(s**(1\/10)*s*s)))\/(s**(1\/7)\/s*s\/(s\/s**3)))\/((s*s\/(s**(2\/7)*s)*s)\/s**(-7))**(-12) assuming s is positive.\nAnswer: s**(6827\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 + -1. Suppose -3*d - 4*s - 43 = -131, 2 = 2*s. Let b be (119\/d - 8)\/((-3)\/4). Solve i = b*q - 6*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2841070235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1210 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(34)\/sqrt(8) + 2)**2 - -3*((sqrt(425) + sqrt(425) + 2 + sqrt(425) + sqrt(425) + 4)**2 - sqrt(425)).\nAnswer: 697*sqrt(17) + 20580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4635008*q - 42*q**2 - 4634997*q + 9270005*q.\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(2 + sqrt(85)\/sqrt(20))**2 + 5 + (-5 + (sqrt(17) + 0 - sqrt(17)) - (sqrt(17) - 6*sqrt(68)\/sqrt(4))**2).\nAnswer: -883\/2 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 5, o: 5, b: 1, g: 3, y: 2}. Give prob of sequence hhgo.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**3 + 8*y**2 - 13*y + 3. Let t be b(6). List the prime factors of 3*50 - (-2 + (-9)\/t).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*q + 62015 = 38*q. Is q greater than 785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 91*k + 191. Let s(l) = 46*l + 95. Let t(n) = 5*s(n) - 2*y(n). List the prime factors of t(7).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 4918 = -2*f - k, 5*f + 3*k - 12295 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 5 = -3*d, -2*d - 15 = -5*m - 7*d. What is the smallest common multiple of m and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**3 + p**2 - p + 46. Let s be r(0). Let k be 45 - (-3 - (4 + 55\/(-5))). Suppose -207 = 32*x - k*x. Calculate the greatest common divisor of x and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 14? (a) 5\/2 (b) 0.72 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*q - 8, -5*j - q + 139 = -159. Suppose -5*r = -70 - j. Let c be 4\/r - (-7799998)\/13. What is c rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -3.1, 0.2, 5\/4, 0.39 in descending order.\nAnswer: 5\/4, 0.39, 0.2, -0.1, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 19*z**2 - 6*z - 17. Let v(b) = 8*b**2 - 4*b - 9. Let g(o) = 7*v(o) - 3*y(o). Calculate g(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -20697*c. Let v(p) = 1705*p**2. What is v(q(m))?\nAnswer: 730363704345*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -v**6 - 28410884*v**5 - 61853986*v**2 - 3*v.\nAnswer: -120*v**3 - 1704653040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 + 21 = 4*m - 3*f, 3*m + 3*f - 9 = 0. Suppose a - 2629210 = -3*a - 2*r, -m*a + 2*r + 1314590 = 0. What is a rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4584747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 947035961*h + 137684509 wrt h?\nAnswer: 947035961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2240343, -8961381, -20163111, -35845533, -56008647, -80652453, -109776951?\nAnswer: -143382141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 1 = 3*t, 5*t + 3*s = -s + 30. Let h be (-18)\/(-30) + (57\/5 - t). What is the greatest common factor of 140 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 45 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, -7, 2, 27, 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -741*x. Let y(n) = -10*n. Let o(c) = -6*a(c) + 442*y(c). Let b(u) = 2*u. Determine b(o(f)).\nAnswer: 52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 82680406?\nAnswer: 2, 41340203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/45)\/(248\/574740).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-550 - -394) + (3 - -289).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 3*(3 + -1 + sqrt(17)))**2.\nAnswer: 60*sqrt(17) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 2*h = 2, -b + 117 = -5*h. Let a(c) = 0 - 13 + 0 + b*c. Let j be a(9). Round j to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1595819 at most -1595893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3817, -3650, -3483, -3316?\nAnswer: -3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -30*3*(5\/(-27))\/((-60)\/72)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 4*a + 5*o + 5 = 0, -a - o + 3 = 0. Solve 0 = m - 2*g - 7, a*m = g + 2*g + 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -0*u + 45. Suppose 2*m - r = u, -3*m = -2*r - 16 - 0. Which is the closest to 1? (a) m (b) -1\/6 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -118 - (-44 - (6 - 45))\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -2.8, -4, 5, 12 in descending order.\nAnswer: 12, 5, -2.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**2 - b + 9. Let r = -12 - -12. Suppose -4*p = 2*k - 106, 45 = 2*p - 2*k + 1. Calculate the remainder when p is divided by y(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from edwmtfm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -7*t**2 + 3*t + 7. Let z(c) = 4*c**2 - 2*c - 4. Let o = -112 + 115. What is o*b(x) + 5*z(x)?\nAnswer: -x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -272, -550, -832, -1118?\n\"Answer: -2*f**2 - 272*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1612)\/9424*19*1236\/(-26)*2\/(-3)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 911.2499 years in centuries?\nAnswer: 9.112499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/6 - (-88)\/(-396).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that m**2 - 340*m + 28900 = 0.\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -5*w, w + 5 = -0. Factor 0*k**2 + 144*k**3 + 4*k - 36*k**2 - h*k**2 - 160*k**4 - k**2.\nAnswer: -2*k*(4*k - 1)**2*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -506829.821 to the nearest 1000.\nAnswer: -507000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (3*l - 3*l + 2*l)*(-5*l + 2*l + 2*l) + 39583*l + 340*l**2 + 153*l**2 - 39605*l as s + w*l**2 + i*l and give w.\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 291051\/4 or 72763?\nAnswer: 72763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 664133074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -53, -1, -3, -5, 1 in increasing order.\nAnswer: -53, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 24\/(-630)*3*(-56)\/(-80)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-352)\/220)\/((-16)\/(-60)). Let v(d) = -8 - 206*d**3 - 7*d**2 - 9*d - 212*d**3 + 417*d**3. Calculate v(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 211 is divided by 203.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 3 - 7 = 0. Let j be (-4)\/(-10) - 26\/(-10). What is the second derivative of y*n**j - n + 5*n - 5*n wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 133051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 16*a - 18*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 5 + (-1 - 0) + -1. Let l(j) = -2*j + 3. Let d be l(-1). Let x = -10 + 7. Put x, b, d in decreasing order.\nAnswer: d, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2\/8447 - 718739\/3142284. Calculate the common denominator of -18\/5 and g.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -2*m**2 + m + 1. Let t(z) be the third derivative of z**5\/120 - 35*z**4\/8 + 67*z**2. Let h(a) be the second derivative of t(a). Give f(v) - 3*h(v).\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 133889069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the second derivative of -r**5\/5 + 22*r**4\/3 + 2*r**3\/3 - 44*r**2 + 90*r. Factor s(o).\nAnswer: -4*(o - 22)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48783 is divided by 48556.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the first derivative of -377*y**2\/2 - 75*y + 441. What is the first derivative of p(o) wrt o?\nAnswer: -377","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-5*sqrt(18) + 4)**2.\nAnswer: -360*sqrt(2) + 1398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the second derivative of i**3\/6 - i**2\/2 + 4*i. Let f(r) = r**3 - 8*r**2 + 3. Let a be f(8). Determine z(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4521 is divided by 156.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1245\/(-35)*(-9205)\/(-3945)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 3 = -3*j + 21, 7 = q + 2*j. Suppose -88 = -4*n - 4*z, 0 = -3*n + q*z + 2 + 40. What is the least common multiple of 57 and n?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 51\/1137704 and -81\/418616.\nAnswer: 838487848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -76964? (a) 5\/8 (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 52 - 41. Let a(s) = -s**2 + 8*s + 27. Let h be a(c). Let z(g) = g**3 + 5*g**2 - 8*g - 7. Let b be z(h). Solve b*y = 6*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7411969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - 32 = -8*q. Solve -a = -3*a - 8, 32 = -4*z - q*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 10*q**2 + 6*q - 4. Let z be x(-3). Let u = -65 + z. Suppose u*l = -16 + 67. Calculate the remainder when 50 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 107*n + 27. Let t be d(5). Suppose -78 = -563*o + t*o. Does 43 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 26.17752 micrometers to centimeters.\nAnswer: 0.002617752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 165131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.88 - 5.8596. What is q rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -5*y**4 + 4*y**3 - 3*y**2 - 4. Let b(z) = 11*z**4 - 7*z**3 + 7*z**2 + 7. Let n(f) = 4*b(f) + 7*o(f). Find the third derivative of n(i) wrt i.\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26860.\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*w + 4*d - 4, -w + 11876*d - 11874*d = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1036?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -23 by -2325.\nAnswer: 23\/2325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6\/(-4)*(-4)\/3. Suppose 1 = 3*t - z*t. What is the smallest common multiple of 4\/((-6)\/6) - -7 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) 2 (c) 4\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 158155, 158149, 158137, 158119, 158095, 158065, 158029?\nAnswer: 157987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 3*u**3 + 6*u**2 + 22*u - 79. What is the units digit of n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9 + -7. Let f(m) = 2*m**3 - 4*m**2 + 3*m - 1. Let h be f(t). Determine r so that 3*r**5 - 4*r**2 + 1 - 2*r**3 + 0*r**2 + h*r**4 - 2*r**2 - r = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1875*j*r*v**3 - 2*j*v**3 - 4730*r*v**3 - r*v**2 wrt j?\nAnswer: 1875*r*v**3 - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-90)\/(-35)*(-4 - (-200)\/15). Solve -3*s = l - 2 + 6, -3*s - j = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 4*y**2 + y - 4*y - 2 - 3*y**2. Let h be r(4). Find the second derivative of -s - h*s**4 - 4*s + 2*s wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.24 - 0.25. Let s = 0.03 - v. Let u = -2 - -4. Is s at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 132 a factor of 18634044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7\/(28\/(-12))*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 95*p - 3*p**3 - p**2 + 11*p**2 - 96*p - 6*p**3 in the form r + t*p**3 + s*p**2 + w*p and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79325188?\nAnswer: 2, 37, 607, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be 78\/24 + 2\/(-8) + 11. Solve -4*x - 3*q = -4*q - m, -8 = -4*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*s = -2*s + 3*s - 70 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 397 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kfwkkwe. Give prob of picking 1 w and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -673 + 692 - (-1 - 75).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 16254201 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 4*p - 58 = -p, 17*q - 22*q = -6*q - 2*p - 47 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1435045 to the power of 1\/2, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44415 - 44278 + 18*r**2 + 88693 - 15*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {r: 16, y: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -43*s. Let z(p) be the third derivative of -p**5\/30 + 37*p**2. Calculate z(n(w)).\nAnswer: -3698*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1664, 1619, 1550, 1463, 1364, 1259, 1154, 1055?\n\"Answer: z**3 - 18*z**2 + 2*z + 1679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 120 and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24 + 0 + 98*v - 1 + 3 + 23.\nAnswer: 98*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 198532 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 0 + 0 + 4 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.6 - 3048998970222.\nAnswer: -3048998970221.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-7)\/2)\/((-42)\/(-5040)*-462)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -4805*x**3 + 4185*x**2 + 680*x - 60 = 0.\nAnswer: -6\/31, 2\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v + 1, -4*o = -3*o - 3*v - 47. Let j = 45 - o. Calculate the highest common factor of 5 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*-5*(2 + 2 + -2 + sqrt(35)\/sqrt(7) + -4*sqrt(720) + sqrt(720))**2.\nAnswer: -3500*sqrt(5) + 153225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2278 - 2283.412. Let b = 5.4582 - 0.1582. Let d = s + b. Round d to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34 = -3*w + 5*y, y = -7 + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.6 - -3.9625. Let s = -69.7155 - w. Let x = 72 + s. Round x to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) 2 (c) 67 (d) 5 (e) 4\/7 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1707?\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + 16*s + 64. Let v be f(-11). Suppose v*w - 13 = 14. Factor 0 + 0*h**2 + 9\/7*h**4 + 0*h + 3\/7*h**5 + 6\/7*h**w.\nAnswer: 3*h**3*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.6 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 18845303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 3278016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x - w - 7066 = -7140, 2*x = 4*w + 34 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 662440 to the power of 1\/2, to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -224*r**2 - 200*r. Determine t(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -37*z**2 - 9*z. Let s(f) = 18*f**2 + 5*f - 1. What is -4*q(m) - 7*s(m)?\nAnswer: 22*m**2 + m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -7543 (base 8) to base 12\nAnswer: -2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -870547, -1741098, -2611649?\nAnswer: -3482200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 4 - 2*g**3 - 4*g**3 - 9 - 5*g**2 + 7*g**3 + 3*g. Let z be n(2). Put 3, z, -1 in descending order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 + 80. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*f**6 + 30*f**3 + 23*f**2 + 5 wrt f.\nAnswer: 240*f**3 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 31 in -3404, 3, 0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.5 - 4.5. Which is the nearest to 0.1? (a) -0.6 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, q: 3, a: 3}. Give prob of picking 1 a and 2 m.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 435424?\nAnswer: 2, 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 4 = 2*w. Suppose t = 4*f - 11, -t - 6 = t. Suppose f*p = -w*p. Sort -1, p, -2.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10911 (base 13) to base 12.\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(208) + 4 + 1 + sqrt(208) + sqrt(208) + sqrt(208))**2.\nAnswer: 480*sqrt(13) + 10059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (-409)\/((-3)\/(3\/1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24147 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 AM and 1:00 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -25*h**4 - 3520*h**3 - 6965*h**2 - 3470*h.\nAnswer: -5*h*(h + 1)**2*(5*h + 694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 76, 7, 99 in decreasing order.\nAnswer: 99, 76, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(1\/4)*i)**(-2\/61)\/(i*i**(-3\/7)*i*i\/i**(2\/9)*i) assuming i is positive.\nAnswer: i**(-26057\/7686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or 93141\/26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 1739*r - 1737*r + 12 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 2*n = -9, -4*n + 6*n + 8 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - (-6 - 15 - -32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/6? (a) 3\/7 (b) -136 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/9, -5, -0.1, 10\/11 in increasing order.\nAnswer: -5, -4\/9, -0.1, 10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.473, 24, -1.1?\nAnswer: -0.473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 56\/7*-19*(-9)\/(-7524)*(23 + -3).\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 320561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -92 + 39. Let y = l + 135. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -54*-120328\nAnswer: 6497712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*r + x + x, -4*x + 5 = r. Solve v + z = -5 - r, z = 5*v + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/8 in 25\/819, 25, -0.1?\nAnswer: 25\/819","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14 + 48 - 21 - 20*y**2 - 15.\nAnswer: -20*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -77*f + 434 + 62 = -120. Let z(b) = b + 18. What is the lowest common multiple of z(0) and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 257 is divided by 254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-6)\/10)\/((-1)\/5). Find the first derivative of k*l**2 + 4 - 1 + 1 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 6, q: 3, a: 1, v: 1, c: 1, e: 1}. Give prob of sequence eq.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 w, and 1 j when three letters picked without replacement from {j: 1, f: 2, d: 4, c: 3, b: 5, w: 5}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.12 * -20.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-177)\/59*16\/156)\/((-10)\/280*-8).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) - 5*sqrt(121)*-3) + (sqrt(121) - ((-5*sqrt(121) - sqrt(121))*5 + sqrt(121))))\/((-4*sqrt(275)*4 + sqrt(275))*3).\nAnswer: -46*sqrt(11)\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - 202002?\nAnswer: -202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 58, 86, 168, 334, 614, 1038?\nAnswer: 1636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1749 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, -46, -6823, 15.7?\nAnswer: -6823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let -423*v**5\/2 - 1263*v**4\/2 + 21159*v**3 - 33294*v**2 - 151812*v + 2160 = 0. What is v?\nAnswer: -12, -2, 2\/141, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12 - -22. Suppose 5*h + 0*h - r = 0. Suppose -h*a + 74 = -0*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 17\/8 + 13\/(-104). Find the first derivative of -12*q - 9*q**2 + 33*q**2 - 9*q**j - 6*q**2 - 11*q**2 + 136 wrt q.\nAnswer: -4*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 - (-2)\/(6\/63). Suppose -46 = -5*q + 2*q + 2*u, -2*q = 5*u - d. Calculate the remainder when (-2)\/(-4) - 53\/(-2) is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*m = -42*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (0 + (13 - 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 - 2. Let m be (l\/12)\/(4\/80). Suppose -3*k - 3 = -4*h - 45, m*k = h + 53. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(119)*2 - sqrt(119)))\/(sqrt(175)*-2).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 808 - 907 - (2 + -211)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 - -364a755?\nAnswer: 364a753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 625.8 and -0.06?\nAnswer: -37.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 123319 and 8532?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -1.7367896 to three dps.\nAnswer: -1.737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7254 is divided by 5548?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand d**4 + 2*d**4 - 5*d**4 + (-11*d**2 + 18*d**2 - 14*d**2)*(4 - 4*d - 4)*(-d - d + 0*d).\nAnswer: -58*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-34 - 30 - 12 + 5)*(-530*s + 46981 - 46981).\nAnswer: 37630*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 PM and 1:31 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -12 - 8*z**2 - 8*z**2 + 19*z**2 + 35*z - 4. What is the units digit of j(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14246 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3649124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of 0 + 0*r**3 + 0*r**2 + 23*r - 8\/3*r**4. Let t(s) = 2*s. Calculate t(y(q)).\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9, 12, 7, -6, -27, -56, -93?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.9797 * 12.04.\nAnswer: -47.915588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x - v + 63 - 47 = 0, 2*v = -5*x + 25 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from ppuppoouuopuupoupu?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 26427, 52857, 79287, 105717, 132147?\n\"Answer: 26430*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -75 - -74.938. Let y = -0.092 - c. Let b = -0.33 - y. What is the biggest value in -3, b, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 15 = 3*q - 3, 3*q - 4*g - 18 = 0. Suppose 0 = q*i - 2*i + 72. Let f = -13 - i. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**3 - 3*a**2 - 6*a + 5. Let g = 0 + 4. Let n be h(g). Let j = 2 - n. Is 6 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85793.86l in millilitres?\nAnswer: 85793860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 127\/14298 and -77\/1339246.\nAnswer: 4017738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(10)\/sqrt(8) + 1 + -2 + (sqrt(210)\/(sqrt(18)\/sqrt(3)))\/(sqrt(7) + sqrt(7)*1*5).\nAnswer: -1 + 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b + 6. Let m be u(-3). Suppose t - 5*f - 397 = 0, 0 = -m*t - 3*f + 801 + 390. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 2 = -4*f + 23, 0 = 5*l - 3*f + 10. Let z be (l*-1)\/(2\/10). Suppose 4 + 2 = -3*n - 5*y, 4*n + 8 = 2*y. Sort n, 4, z in descending order.\nAnswer: 4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*k**4 + 766*k**3 + 1460*k**2 - 2 wrt k?\nAnswer: 48*k + 4596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 + -5 - -2 - 7. Let r be (12\/15)\/((-4)\/t). Suppose r*m + 2*m = 28. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 1 - 1)*(-2 - 1 + 1)*(-3 - 3 + 7)*(37*f + 5*f + 2*f).\nAnswer: 440*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40073616?\nAnswer: 2, 3, 11, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -4 - 3\/(-2)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -197*x**2 + 16*x**2 - 193*x**2 + 7*x to b*x + g + r*x**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of -o**5\/20 + o**4\/4 + 5*o**3\/6 + 3*o**2\/2 - 13*o. Give m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4522998.\nAnswer: 2, 3, 43, 47, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -67 - -39. Calculate the remainder when 8 is divided by (0 + -2)*42\/v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 297038 and 4315626.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sum -198 and -145722255.2.\nAnswer: -145722453.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and -3392.\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 4*a**2 - 2*a - 6. Let w be g(6). Let v be (7\/2)\/((-29)\/(-116)). Calculate the greatest common factor of v and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes after 7:50 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, x: 17}. What is prob of sequence ex?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0046018 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*r = -22*r - 28*r + i - 4, 10*i = -2*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4967019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the second derivative of -c**4\/60 - 176*c**3\/5 - 139392*c**2\/5 + 103*c. Suppose w(r) = 0. What is r?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16473, -25670, -34867, -44064, -53261?\nAnswer: -62458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -4*t**2 - 70*t - 39. Let n be y(-43). Which is smaller: n or -4427?\nAnswer: -4427","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -2*t**2 - t + 30. Let f(i) = i**2 + i - 31. Calculate 2*b(p) + 3*f(p).\nAnswer: -p**2 + p - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -5536*v - 5133. Give y(-1).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14781 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1ffc0 (base 16) to base 12\nAnswer: 63994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be 8 + 1133\/(-132) + (-1)\/(-4). Is -79\/4 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -35 - 59. Let a be (4 - 1) + 4 + t\/14. Factor 2\/7*h**2 + 0*h + 0 + 0*h**3 - a*h**4.\nAnswer: -2*h**2*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1269 + -1266. Solve 0 = -2*n + c, -c - u*c = 5*n + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-17)\/(-51))\/((-1)\/(-42)). Let t be 96*j\/(-21)*2\/(-4). Let q = t + -29. Solve -q*w = -f - 7, 2*w + 3*w - 4*f - 14 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s - 1. Let o be h(-3). Let u(q) = 2*q**2 - q - 1. Let d be u(o). Solve -d*j = -15, 5*x = 2*x + 2*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -110313 - 11?\nAnswer: -110330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, x: 1, a: 1, f: 4, b: 2, w: 2}. Give prob of sequence wdxa.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 9, q: 2, s: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 2*j - 108 = -s, 0 = -5*s - 3*j + 246. Solve 0 = 29*x - s*x - 44 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x**3\/3 - 3872197*x**2 + 11245430269008*x + 33736302423616\/3 = 0. Calculate x.\nAnswer: -1, 5808296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**2 - 2*t + 9. Suppose 9 = r + 3*m, 3*r + 10 = -5*m + 33. Is i(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -24\/11*x**3 + 12\/11*x**4 + 16\/11*x**2 + 0*x - 2\/11*x**5 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 32963\/12 + -2738. Find the common denominator of 53\/66 and u.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -210220121210 (base 3) to base 9.\nAnswer: -726553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 381209*r**2 - 470 - 381209*r**2 + 2*r**3.\nAnswer: 2*r**3 - 470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -w**3 + 28*w**2 - 27*w = 0.\nAnswer: 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 9774813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -3\/7*w**5 - 423\/7*w**3 - 30*w**2 + 0*w + 0 - 216\/7*w**4 = 0.\nAnswer: -70, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 62335 and 229749.\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -20447 (base 12) in base 14?\nAnswer: -114b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**2 + 26*h - 11. Give b(-18).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-192)\/(-33) - (40\/(-44))\/5. Suppose -t*v = -4*v - 244. Let w = 67 - 49. What is the lowest common multiple of v and w?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 1153*a - 61304. What is g(53)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - 2 = -13*b + 16*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 53049363 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 4*o - 3. Let r be (-6)\/(0 - 3) + -7. Let g(v) = -49*v - 3. Let u(y) = -28*y - 3. Let z(n) = 3*g(n) - 5*u(n). Determine r*h(l) - 3*z(l).\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes before 12:02 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -191 - 527. Let k = z - -718.639. Round k to two decimal places.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -5, -1, 7, 19?\n\"Answer: 2*z**2 - 2*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (5\/(-30)*10)\/(1\/(-12)). Let c = -23 + m. Let h be -1 + 69999 - (-2)\/((-3)\/c). What is h rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 - (-10 + 13 + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -915 - -944. Calculate the remainder when 101 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 274, 591, 912, 1237?\n\"Answer: 2*k**2 + 311*k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 3*j + 2)*(1743*j**2 - 5*j**3 - 4083*j**2 + 2342*j**2 - 977*j) to s*j**3 + w*j**4 + m*j + h*j**2 + v and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -30*b**2 - 25*b - 50. Let r(a) = a + 1. Let i(t) = 25*r(t) + y(t). What is the derivative of i(x) wrt x?\nAnswer: -60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 - 6*c**2 + 7*c - 6. Let m = -88 - -92. Determine i(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -971 - 331. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -2*f**3 - 31*f**2 + 140*f + 904. What is t(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**2 + 2*q + 2. Let f = -5 - -2. Let a be m(f). Solve -19 = 3*i - 0*c - a*c, -5 = 3*i + 2*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2817, 2874, 2943, 3024, 3117, 3222, 3339?\nAnswer: 3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5) + sqrt(500)*-2 + -3.\nAnswer: -19*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -180 - -180.00000627. What is g rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -16 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -413, -827, -1253, -1697, -2165, -2663?\n\"Answer: -c**3 - 407*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 26, 108, 246, 440, 690?\n\"Answer: 28*a**2 - 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21884.\nAnswer: 2, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -140432 (base 5) to base 7\nAnswer: -22512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3674 and 72478?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/((-3)\/((-3)\/(-2))). Let i be (-2)\/k*(-36)\/8. Solve -2*t + 11 = 3*r, -4*r - i - 5 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 30328, 60660, 90994, 121330, 151668, 182008?\n\"Answer: v**2 + 30329*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*o = -40*o + 4930. List the prime factors of o.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.036 + 0.164. Which is the nearest to m? (a) -3 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - 1.1. Let i = 0.05 - -0.25. What is the second smallest value in 3\/4, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**2 - 18*j - 42. Let w be p(-14). Suppose -34 = -w*o + 36. Suppose o*a - 29 = 4*a. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s = 33*b - 36*b + 3, -s - 3 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 52 - 37. Suppose 4*u + u - b = 0. Suppose -6 = -2*d + 12. Calculate the least common multiple of u and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.1 (b) -8\/359 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11011 + -7057. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 174 = -52. Let o be d\/(-14) + (-4)\/(-14). Let i be (-2)\/(((-6)\/(-9))\/((-12)\/o)). Solve 2*k = i*z, 2*z + 12 = -5*k - 0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -88, -172, -254, -334, -412, -488, -562?\n\"Answer: l**2 - 87*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -360 or -367?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**2 + 7*m + 2. Let y(t) = -2*t**3 - 2*t**2 + t + 1. Let z be y(-2). Suppose 0*n = n + z. What is the units digit of o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c - 4*m - 100, -63 = -3*c - 3*m + 6*m. Calculate the greatest common factor of c and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12660*k**2 - 1515*k**2 + 525*k + 2860*k**3 - 260*k - 265*k wrt k.\nAnswer: 17160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2696683*v*x**3 - 90090*v - 7 wrt x?\nAnswer: -8090049*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-7))**(2\/13)*r**18*r*r**(-2\/13)\/r assuming r is positive.\nAnswer: r**(218\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 32 - 26. Let o be (-6)\/(-5)*(-5)\/2. Calculate the lowest common multiple of 7*(3 - (5 + o)) and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*m - 3*j + 43, 3*m - 139*j = -138*j - 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -236 * 0.1.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x - 76. Calculate w(-22).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -450 - -443. Which is the nearest to 1.3? (a) z (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 11*s**3 - 13*s**2 + 67*s + 13. Let h(m) = 3*m**3 - 4*m**2 + 22*m + 4. What is 13*h(o) - 4*p(o)?\nAnswer: -5*o**3 + 18*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 - g**2 + (5 - 5 - 4*g)*(3*g + 6 - 6) + (-4*g + 0*g + 2*g)*(-2 + 2 - g).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - (2 + (-8 - 0 - -7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.06 - 3.94. Let c = -4.1 - h. Let p be ((-2)\/(-3))\/(5\/(-6)). Sort c, p, -1 in decreasing order.\nAnswer: c, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 4*j**3 - 60*j**2 + 3*j - 57. Determine g(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 75 - 48. Let j = -26.999949 + c. Round j to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 2 = -3. Suppose 3*f - 209 = -d*w, -4*w = 4*f - f - 169. Suppose -4*g - g + w = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(2\/3))**(-39)*h\/h**2*h*h**(-16) assuming h is positive.\nAnswer: h**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1024345 and 1969251.\nAnswer: 4181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 30*s - 177031 = -13*s. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 70*b**2 + 3. Let v(i) = -28*i + 200. Let p(x) = 4*x - 30. Let t(o) = 20*p(o) + 3*v(o). Determine t(k(l)).\nAnswer: -280*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -195*a + 2081*a - 362*a.\nAnswer: 1524*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 8477 = -77*s - 455 for s.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000295 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(68) - -1*sqrt(68) - sqrt(68)))\/(sqrt(4) + (sqrt(40)\/sqrt(10)*-1 - sqrt(4) - sqrt(4) - sqrt(4)))*-3.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 5*p - 29, -5*p - 3*k + 0*k = -37. Suppose p*s = -0*s. Suppose s*j + 7*j = 14. Solve n - 3*c + 9 = 0, -c - c = j*n - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 4*t**2. Let d(p) = 24*p**2 + 2. Determine g(d(q)).\nAnswer: 2304*q**4 + 384*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 2*v**3 - 15*v**2 + 3*v + 30. Let u be k(7). Suppose -s - 264 = -5*j + 694, -u*j + 386 = s. Is j a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7.3 + 6.8. Let x = -1\/105 - -221\/1155. What is the smallest value in x, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -2*f + 0*f + f. Let j(n) = 17. Let d(w) = -38. Let l(r) = -4*d(r) - 9*j(r). Let v(g) = -8*g + 5. Let z(t) = -5*l(t) - v(t). Calculate p(z(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1220 is divided by 837?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1842 + 561 + 7*m + 639 + 642.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -25 (base 13) in base 2?\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 2*m**2 + 4*m + 3. Suppose 4*f - 5 - 31 = 0. Let h(k) = 7 + 6*k**2 - k**2 - 1910548*k + 1910557*k. Let b = 10 + -14. Calculate b*h(i) + f*t(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**3 - 67*w**2 - 70*w + 154. What is the least common multiple of k(68) and 62?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the third derivative of -o**4\/4 + 17*o**2. Let s(n) = -4*n + 5*n**2 + 4*n - n**2. Give h(s(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - v + 3 - 11 = -8, 3*v = 7*c - 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-2\/19)\/((j*j*j**(-16))\/j) assuming j is positive.\nAnswer: j**(283\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - u + 10 = -4*l, -3*l - 18 = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-34 + 28*t + 34)*(2*t**3 + 0*t**3 + 0*t**3).\nAnswer: 56*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 423 = -3*c, 5*c + 219 = h + c. Calculate the remainder when h is divided by 195.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -693*o - 10. Is i(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -3*q**3 + 296*q**2 - 1765*q + 159. What is k(6)?\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54*w + 68 - 14 = 0. Calculate the greatest common divisor of 139 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11b (base 15) to base 11.\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 51051176 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 0.4, -0.4, 3\/2, -0.1, -6210, -2\/7, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be 98\/(-28)*12\/(-189). What is the nearest to 0.1 in 239\/17, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 3*h - 5*h = -24, 5*v = -2*h - 16. Sort -5, -2, 7, v in decreasing order.\nAnswer: 7, -2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 4*h**2 + 4*h - 10. Let v be y(-5). Does 3 divide (-2)\/7 - (-370)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -422186 divided by 4?\nAnswer: -211093\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -33233232.1 rounded to the nearest one thousand?\nAnswer: -33233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 - 12 = -3*k. Let g = 24 - k. What is the highest common divisor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 577.581 to the nearest integer.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7\/499 - -1469\/1996. Factor 0 + 1\/2*s + 1\/4*s**4 + 0*s**3 - x*s**2.\nAnswer: s*(s - 1)**2*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 90*n + 39898 = 36838 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -3\/13, -5\/7, -3\/64, -2?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes before 8:27 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -62808601?\nAnswer: 3\/62808601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -589 - 84?\nAnswer: -62d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/1*(-57)\/((-79002)\/84).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -7*k**2 + 176*k - 7. Let g be f(25). Calculate the highest common factor of 171 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 1. Let q be 1*(-2 - -1)\/(-1). Let n(b) = 13*b - 3. Let p(h) = q*n(h) + 2*t(h). Calculate the remainder when p(3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 152 = 6*z. List the prime factors of (-33)\/(-2) + 57\/z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**2 - 12*w + 19. Let u be n(12). Let p = u + -14. Suppose -g + p = -6*g. Which is bigger: -7\/6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes before 11:38 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*p**3 + 11740*p**2 - 23468*p + 11732.\nAnswer: -4*(p - 2933)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1423092102.\nAnswer: 2, 3, 283, 838099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -4*w**2 + 6250*w - 284. Let y(n) = 2*n**2 - 3125*n + 131. What is 6*i(o) + 13*y(o)?\nAnswer: 2*o**2 - 3125*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 471, 945, 1419, 1893?\n\"Answer: 474*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 5, -1\/4, 2, -2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 56092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fffc when four letters picked without replacement from {c: 5, f: 9}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ux when two letters picked without replacement from {x: 2, u: 10, z: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/(-14) + (-24)\/84. Suppose 5*g + 4*x - 56 = j, 0*x = -2*g + 4*x. Let l be (15520\/(-1))\/(g\/(-100)). What is l rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 15\/269, 0.07, 3\/4, 2\/85?\nAnswer: 15\/269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 96357\/319 + -3342\/11. What is the common denominator of 9\/10 and v?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7 + 15\/2. Let n be (3\/(-9))\/((-3)\/(-2)). Which is the nearest to -0.4? (a) -5\/4 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/8706 and 95\/23216?\nAnswer: 69648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-94)\/(-8) - 3\/(-12) - 1. Let x(l) = 10*l - r*l + 2 + 5*l - 1. Give x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 + 4*x - 12)*(-3*x - 3 + 3) + (-x + 3*x + x + (-3 + 2 - 3)*(2*x + 3*x - 3*x) + 0*x - x + 3*x)*(-4 + 4 + 5*x).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 79*g + 2. Let w be s(4). Suppose 0 = -4*t + 294 + 98. Suppose 4*r - w + t = 0. Calculate the greatest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 + 2 + (10 + -6 + -2 - 5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 243804 divided by 1?\nAnswer: 243804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -2867*a. Let z(i) = -5*i**2 + 5*i. Calculate r(z(x)).\nAnswer: 14335*x**2 - 14335*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -3 - 5. Is -35*(0 + -1) - h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16189 (base 11) in base 2?\nAnswer: -101100100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/10*(-140)\/112.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hnhoruod. Give prob of sequence unn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -93 divided by 683557?\nAnswer: -93\/683557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the third derivative of d**8\/2016 + d**7\/630 + d**6\/720 + 44*d**2. Factor c(n).\nAnswer: n**3*(n + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2346\/(-1768) - (-2)\/26)\/(15\/6). Put 2\/3, 1.1, c in ascending order.\nAnswer: c, 2\/3, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-5)\/(o\/((o\/(o\/o**(-1\/5)))\/o)))\/(o**0\/o*o*o**(-1)*o) assuming o is positive.\nAnswer: o**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8469, 8473, 8477, 8481, 8485, 8489?\nAnswer: 8493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 0, 1\/1047, 271, -2\/13, -1\/2?\nAnswer: 1\/1047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q. Let w(c) = 138*c - 23. Let x(k) = -17*k + 3. Let j(u) = -3*w(u) - 23*x(u). Calculate y(j(f)).\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-48)\/(-20))\/(-4)*(-25)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/(1407\/1139)*10\/4*16\/10\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 + 37*x**2 + 131*x + 50. Let g be z(-33). Solve -23*q - g = -14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-20))\/((-4)\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 133, 6, 5, -3, 18 in increasing order.\nAnswer: -3, 5, 6, 18, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1517 - -75312?\nAnswer: 73684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l**2\/11 + 42076*l\/11 - 2616400\/11 = 0.\nAnswer: -21100, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum 5095821 and -84.\nAnswer: 5095737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 46 + -48. Let d be 2937\/(-44) + (b\/1)\/8. Let c = d + 119. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1, -4, -94, 336, 3 in decreasing order.\nAnswer: 336, 3, 1, -2, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a - 21275?\nAnswer: -2126a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 34 + -30. Suppose 4*r + 3*d = -12, -f*r + 0*d + 8 = -2*d. Let c(u) = -3*u + 9. What is the remainder when 24 is divided by c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 8\/3*u**2 + 1\/12*u**3 + 5\/2 + 61\/12*u = 0. Calculate u.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 533 + -533.2. What is the biggest value in 0, t, 0.4, -0.85?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 + -1)\/(10\/5) - -15. Let y(q) = -2*q**3 - 13*q + n*q - 2*q**2 + q**3. Give y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1146270.01 plus -0.5?\nAnswer: 1146269.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.5 (b) -1\/3 (c) -0.6 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000280168682 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 7.996582s in microseconds?\nAnswer: 7996582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x, 3*h + 4*x = -0*x + 6. Suppose g - h*g + 311 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 42426 + -11?\nAnswer: 42415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes after 10:03 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 12 = 3*d. Suppose 3 = -d*x + 9. Suppose 0*z + 4*y = x*z - 10, 5*y = 0. Solve -5*b + 5*o - 30 = 0, z*o = -b + 2*b + 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1610 divided by -70.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-42))\/((-2)\/((-54)\/9)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is r in 4*r**3\/3 + 18684612*r**2 + 65459020390532*r + 196377005117764\/3 = 0?\nAnswer: -7006729, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 - 17 - -7 - -32.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -10*z. Let u(y) = 11*y. Let l(f) = -6*s(f) - 5*u(f). Let p(x) = -5*x**2. Determine p(l(v)).\nAnswer: -125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {w: 1, n: 2, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-12)\/78 + 2*(-252)\/104. Put -0.5, 0.4, 1.17, z in ascending order.\nAnswer: z, -0.5, 0.4, 1.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 1 = -699. Let l = 1358\/45 - 214\/9. What is the common denominator of 8\/28 + (-698)\/z and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + o - 3*s = 2*s - 12, 3*s - 20 = -432*o + 427*o + s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 3*y - 3. Let g(u) = 4*u - 2. Let r(n) = 4*g(n) - 5*i(n). Let c be r(-5). Suppose 0 = -c*k + 3 - 1. Solve -f = -2*f + k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -10*h + 9. Let l(i) = 5*i - 4. Suppose -3*b = -834*q + 830*q + 21, 0 = 4*b - q + 15. What is b*s(u) - 7*l(u)?\nAnswer: -5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 - 4 + 1)*(62*k**2 - 232271 + 232271).\nAnswer: -930*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49011?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*z + 0*z - 7*z)*(z - 3 + 4 + z) - 1 + z**2 + 1.\nAnswer: 9*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1211926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -20 and -1.0404.\nAnswer: 20.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*a - 4*a - 2*a)*(44*a - 51 + 51) - 4*a**2 + 0*a**2 + 3*a**2.\nAnswer: -133*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 995523.\nAnswer: 3, 331841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -72 + 75. Put -0.5, 2\/11, 1, t in decreasing order.\nAnswer: t, 1, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1015\/(-812)*1\/(-5))\/((18\/(-28))\/(-3)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4122*f - 4125*f + 78. What is the least common multiple of f and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f = 82.1 + -81. Let q = 1.0999899 - f. Round q to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 2*r + 6 + 2, -2*r - m = 2. Let u be 0*(r + 0 - 1). Let h(n) = n - 2. Calculate h(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 8301 and -1.\nAnswer: 8300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 10426 divided by -72\nAnswer: -5213\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53018543?\nAnswer: 53018543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1132237843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2199482109 to three dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 - -3. Let w = -16 - -19. Which is the closest to f? (a) -2 (b) w (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 3) + (1 - 3 - (89 + -96))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -18516 divided by -62?\nAnswer: 9258\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 - 45 - -81 - 68?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -943*j + 1553 - 3051 + 1498.\nAnswer: -943*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1229 divided by -5\nAnswer: 1229\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 7228430789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -35\/6 - -17\/3. Which is the nearest to 17? (a) -1\/4 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.043 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hjsqqqhkqq. What is prob of picking 3 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (1 + -11 - 1) + (9 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange m**2 - 1028*m**3 + 1001*m**3 - 10*m + 9*m - 8 to the form p*m + t + k*m**3 + y*m**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 + f. Let l be w(-2). Suppose -d = l*g + 3*g - 481, 113 = g - 4*d. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 331 by -7912.\nAnswer: -331\/7912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 3 = -5*f. Let a be 4\/6 - 48\/72. Let i be (1 + 1)*(f - a). Solve i*m + 0*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3.91 + 0.19. Let d = -4 + r. Sort 5, d, 2\/9.\nAnswer: d, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7359500 and 2870?\nAnswer: 51516500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13)*2)**2*-6 - (2*sqrt(104))\/sqrt(8).\nAnswer: -312 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:24 AM and 6:56 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -838, -845, -864, -901, -962, -1053, -1180?\n\"Answer: -h**3 - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -138222, -276430, -414634, -552834, -691030, -829222?\nAnswer: -967410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -21022000101 (base 3) to base 12\nAnswer: -6b147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-1*1*sqrt(252) + 5 + sqrt(189)\/sqrt(3))**2 + -1.\nAnswer: -30*sqrt(7) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3484? (a) 4\/5 (b) 4\/9 (c) -8 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -y - 4*t, -5*t - 23 = -3*y + 1. Is y - 9 - 16\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of h**5\/30 + 3*h**4\/8 + 5*h**2. What is the second derivative of g(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 305 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 15670458 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 2 - 5*r - 2. Let n(k) = 7*k + 5. Let m(j) = 6*j + 4. Let w(i) = i - 1. Let l be w(-4). Let f(y) = l*m(y) + 4*n(y). Determine f(t(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 198*-0.05.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(405)*-2 + 3)*-5 + (sqrt(405) + -2*sqrt(405) - sqrt(405))*-3 + 5.\nAnswer: -10 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3558994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.45 and 1.939781?\nAnswer: -2.81268245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/324 and -115\/594?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the second derivative of 5*o**7\/392 + o**6\/42 - 51*o**5\/280 + 9*o**4\/28 + o**3\/6 - 24*o. Let l(b) be the second derivative of a(b). Factor l(u).\nAnswer: 3*(u + 2)*(5*u - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 253 and 34109?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -17*d**2 - 11502*d + 3. Let p(m) = 2*m. Give l(p(w)).\nAnswer: -68*w**2 - 23004*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-12))\/(1\/4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -505*z - 88*z**2 - 20*z**2 + 505*z. Let m(u) = -2*u. Calculate w(m(o)).\nAnswer: -432*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 719 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*u + 2*u - 312 = 0. Calculate the lowest common multiple of 538 and u.\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 14) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/7 + 1902\/42. Suppose 10*q = q + b. Suppose 4*w - 25 = -q. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 6, u: 1, r: 9, m: 1}. What is prob of sequence mttr?\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 16\/4*13\/(936\/(-18))*-19\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2 (b) -0.03 (c) -2\/1995 (d) -1\/1675\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2834971 is divided by 2017.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/(-44)*1)\/(18\/(-297)*3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (w**3 - 3*w**3 + 3*w**3)*((-4 + 3 + 2)*(-11*w**2 + 64 - 64) - 74*w**2 - 57*w**2 + 16*w**2).\nAnswer: -126*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -77 (b) 2 (c) -0.13 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -4 + 5 + -11 + 75249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -10*l - 5. Let b(o) = o**3 - o**2 + o - 1. Let j be b(2). Suppose -5*r = 5 - 20, 5*z + 5*r + j = 0. Does 13 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -218.\nAnswer: -43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 163 = 5*a, -2*b + 2*a + 83 = -a. Let r = -24 + b. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**2 - 18*u - 16. What is the remainder when l(-7) is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -67351350 and 6.42.\nAnswer: -67351343.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-123)\/(-3)*62\/(-62)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - r + 140 = 4*v, v - 5*r = 57. Let h = 65 - v. Which is bigger: 27 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 + 2 - -5) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7870 - 7865. Calculate the remainder when 673 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8282067 (base 10) in base 2?\nAnswer: 11111100101111111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002958442183 to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 2) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16951*p - 367*p + 633*p + 10582*p to the form w + n*p and give n.\nAnswer: 27799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -837, -634, -307, 138, 695, 1358, 2121?\n\"Answer: -w**3 + 68*w**2 + 6*w - 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*a + 6*a + 8. Suppose 0*t + 2222 = a*t + 5*p, 0 = 3*p + 12. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6187875?\nAnswer: 3, 5, 29, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes before 11:14 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -9819, -39288, -88403, -157164?\n\"Answer: -9823*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be 21\/5 - 3\/15. Let c(t) = l*t + 1 + 2*t**3 + 2*t**2 - t**3 - 8*t. Give c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-2 + (6*(sqrt(891) - -2*sqrt(891)*-1) - (4 + ((sqrt(891) - (sqrt(891) + 1)) + -4 - sqrt(891)))))**2.\nAnswer: 90*sqrt(11) + 22276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55573185.\nAnswer: 3, 5, 3704879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -112, -108, -86, -40, 36?\n\"Answer: p**3 + 3*p**2 - 12*p - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/3*21\/(-2100)*-36.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes after 8:54 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (143\/52)\/(19\/38)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18 + 26. Let p(b) = -4*b**3 + 11*b**2 - 9 - 3*b**2 + 7*b + 3*b**3. Is p(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69914919.\nAnswer: 3, 23304973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/644184 and 95\/64.\nAnswer: 5153472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 6b6 (base 15) to base 5.\nAnswer: 22041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 117923 less than -54?\nAnswer: -117977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-14)\/(-21) - 4\/6. Suppose 2*n - 2 - 20 = b. Calculate the remainder when 32 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.84 - -0.96. Let q = a + 0.5. Round q to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -7*y - 31. Suppose -4*m + n + 74 = 0, 4*n - 8*n - 44 = -2*m. Let u be x(m). Let q = 303 + u. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5 + -1. Let h = 11 + f. Suppose h*p = 5*z - 10, -4 = -3*z - 0*p + 2*p. Solve -g + 5*x + 17 - 3 = z, -5*g - 14 = 3*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2268 - 24\/16*(-2)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 45 = -4*u. Let m = u + 17. What is the smallest common multiple of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + 1 + 25 + -14 + (-29 - 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*v - 31*v + 373 - 15*v - 7*v - 78*v.\nAnswer: -141*v + 373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2755*p - 2758*p - 252*n + 73 - 574 = 0, 5*n = 2*p - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 74 + -214. Calculate the remainder when (1 - l\/6)*3 is divided by (-8 - -6)*(-2)\/(8\/30).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:58 PM and 6:37 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 56757\/14 + -8203\/2. Which is smaller: 0.15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b. Let m(t) = -6*t - 2. Suppose 2*u = 2*r + 250 + 84, 0 = -4*u. Let a = -166 - r. Give a*m(q) - 4*h(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 22479072 divided by 4\nAnswer: 5619768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 3*j = 1485. Find the common denominator of -2 + j\/48 - 1 and 31\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhq when three letters picked without replacement from {h: 5, q: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3797320 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 531 by -5.\nAnswer: -531\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1)\/6)\/((-3)\/(-1526)). Let q = a + 85. Let k = -1.78 - 0.22. What is the second biggest value in q, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.139 minus 1246.33?\nAnswer: -1246.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*k = -k + 75614. Let d be (-1)\/7 - (-198)\/63. Is 2\/(6 - d - k\/(-3602)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 6287675 + -0.2\nAnswer: 6287674.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/2 + (-10)\/(-4). Suppose 0 = -10*a + 12*a - 330. Suppose -q + a = 5*i, -4*q - 190 = -z*i - 3*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*v**4 + 3*v**4 + 4*v**4 + (35*v - 12*v**4 - 35*v)*(2 - 3 + 2) - 4*v**4 + 316 - 316.\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 21 (b) 1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**3 - 4*a**2 - 8*a + 17. Determine t(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 3733*z - 15271451 + 15271451 in the form p*z + x and give p.\nAnswer: 3733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1309 and -0.1927?\nAnswer: -252.2443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 4456\/19, 0.3, 0.27 in descending order.\nAnswer: 4456\/19, 0.3, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00104735 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1.5371693 rounded to 2 decimal places?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 49808811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor s**2 + 2052*s + 1052676.\nAnswer: (s + 1026)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/(-4)*(-4)\/12. Let p = 7076 - 7076. What is the closest to -0.4 in c, -3, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 31*n - 147. Let a be r(5). Solve -2*z + 10*m = 11*m - 5, a = 2*z + 2*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1947 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1015, -99.8, 2.5?\nAnswer: -99.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the first derivative of -u**7\/1260 + u**5\/180 + 11*u**3\/3 - 1. Let w(l) be the third derivative of k(l). Factor w(v).\nAnswer: -2*v*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.38 - -0.08. Let w = 0.186 - 0.066. Which is the third biggest value? (a) w (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 56.44953ml?\nAnswer: 0.05644953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 5*v = -34 - 11, 3*x + 3*v = -9. Let k(f) = 5*f**2 + 30*f + 5. Suppose -4*i + 12 = -20. Calculate the lowest common multiple of i and k(x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((o**2)**(-1\/29))**(6\/13))**(1\/13))**(-28) assuming o is positive.\nAnswer: o**(336\/4901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10313 - 2223440?\nAnswer: -2234303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-111265)\/(-7225))\/((-7)\/(-5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 7 = -3*f. Let d(j) = j - 6. Let s(n) = -n + 1 + 21 - 15. Calculate f*d(u) - 6*s(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, o: 2, u: 5}. What is prob of picking 4 u?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 198519 and 10.\nAnswer: 1985190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 0.05 * 7.49\nAnswer: 0.3745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*o + 2 = 22*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(3) - (2*sqrt(108))**2).\nAnswer: -437 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -158 - 62 = -55*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 678 - 678 + 11*r**3 + 85*r**3.\nAnswer: 96*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000135975 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**2 - 6*o + 4. Let a be l(-6). Suppose -h - 59 = -a*s + s, 4*h = 16. Calculate the highest common divisor of 14 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -54.45 times 0.496?\nAnswer: -27.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7.3 - -7.242. Let c = -455.0626 + 455. Let s = c - x. What is s rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 317*w**3 - 2*w**2 + 71. Let h(i) = -635*i**3 + 5*i**2 + i - 144. Let v(r) = 5*d(r) + 2*h(r). What is the second derivative of v(f) wrt f?\nAnswer: 1890*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126 minutes before 7:17 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 253 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -709, -698, -683, -664, -641, -614, -583?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 261 + -260.9. What is the closest to 2\/9 in t, -3\/4, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 56 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 125\/2178 and 145\/27324.\nAnswer: 300564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 - 8*g**2 + 7*g + 3. Let r be f(7). Let p(w) be the first derivative of -1\/3*w**2 - 2 + 0*w - 4\/9*w**r. Suppose p(u) = 0. What is u?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 552913.\nAnswer: 552913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -187, -218, -287, -412, -611, -902?\n\"Answer: -3*y**3 - y**2 - 7*y - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -31627.4 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 - 5*s - 1. Calculate g(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the first derivative of 3*r**3\/2 + 2*r - 3. Let v(l) be the first derivative of t(l). Determine v(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/280)\/(433\/((-848680)\/240)).\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 4*j**3 + 76*j**2 + 76*j - 1020 = 0.\nAnswer: -17, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 - t. Let n(m) = 4*m**3 - 2*m**2 + 7*m - 3. Let y(k) = 5*j(k) + n(k). Let c(q) = -q**2 + 2*q + 5. Let f be c(4). Give y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -6343859 * 2.\nAnswer: -12687718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 9*v**2 + 71*v + 15. List the prime factors of t(-12).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2 (c) -234 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/5)*b**(-1\/4))**(21\/2)\/(b**(5\/3)*(b\/(((((b*(b*b*b**5*b)\/b*b*b)\/b)\/b)\/b*b)\/b))\/b)**(-1) assuming b is positive.\nAnswer: b**(-703\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -12 - 5*t**2 - 17 - 4*t**3 + 31 + 0*t**2 in the form z*t**2 + k*t**3 + o + q*t and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19821\/22 + -901. Is -3\/2 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u - 5*u + 2*u + (-3 + 1 + 1)*(3*u + 5*u - 6*u) + 2*u - 2*u - 3*u + (4 + 1 - 4)*(-5*u + 3*u + u) + (0*u - u + 2*u)*(-1 + 0 + 2).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 13*a*l**2*n + 6394*a*n**3 - 4*a*n + 75171*l**2*n + 2*n**3 with respect to a.\nAnswer: 13*l**2*n + 6394*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the third derivative of -l**6\/24 - l**5\/4 - 5*l**4\/12 + 7*l**2. Factor a(p).\nAnswer: -5*p*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -22*c**4 + 12*c**4 + 5 + c + c**3 + 9*c**4 as s*c**3 + i*c + l*c**4 + m*c**2 + v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 11014251 + 1211?\nAnswer: 11015502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 19*r - 18 = 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4721399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 4\/3, 8\/1093541, 5, -3\/2, 2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -124 - 40154?\nAnswer: -40311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3424 and 512744.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -101 * -0.8\nAnswer: 80.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*b**2 - 33*b**2 - 16*b**2 + 54*b**2.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes after 7:46 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 395 is divided by 96.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-48) - (-30)\/(-1040)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the first derivative of n**6\/360 - n**5\/60 + n**4\/6 + 5*n**3\/3 - 4. Let s(r) be the third derivative of h(r). What is s(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -4*h + k, -6 = -2*h - h - k. Find the third derivative of -10*w**h + 6*w**2 - 23*w**4 + 46*w**4 wrt w.\nAnswer: 552*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than 1277\/6506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1.3, 72 in descending order.\nAnswer: 72, 0, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-2 - (-5)\/7)\/((-19)\/((-5054)\/(-57)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1956 + -2006 + -24 + 2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k**3 - 51*k**2 + 63*k + 62*k - 112*k + 41*k = 0. What is k?\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide 3432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 124 = -512. Let m = n + -85. List the prime factors of 2406\/m - 3\/(-6).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 968 and 8641600.\nAnswer: 95057600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 6 = 5*g, 0*m - 3*m - 4*g + 6 = 0. Let t be 3 + -4 + -2 + m. Let x be (35\/(-14))\/(t\/2). Solve 7 = 4*k - l + 18, x*k + 5 = 3*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 835, 1773, 2711?\n\"Answer: 938*g - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 820 - 2*r**2 + 812 - 3*r**2 - 1632 - 4*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*g - 7 = -20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 + -1. Let x = 6 - o. Suppose -1 = -x*h + 5. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d = -3*v - 4, -7*v - 4*d - 4 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-26)\/(-4))\/((-1)\/(-14)). Suppose -192 = 18*r - 22*r. Let k = b - r. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 143544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(75) + 0.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y*y\/y**5)*y)**(-8) assuming y is positive.\nAnswer: y**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4 + 306)\/((-4)\/34). Let h = 10335\/4 + p. Calculate the common denominator of h and ((-3)\/4)\/(3\/97).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 87998 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 703*k + 478*k - 958*k + (-2*k + 2*k - 2*k)*(1 + 0 + 0) + 4*k - 5*k + 4*k in the form h*k + z and give h.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.03, 51, 146?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*i + 282*i + 62*i.\nAnswer: 313*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/(-1) - (2 + 1). Let q be -1 + 0 - (-3 + z). Let y(k) = 14*k + 514. Let w be y(-36). What is the greatest common divisor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i - 4*d + 40224 = 0, -16*d - 13397 = -2*i - 21*d. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-178 - 27*q + 178)*(5*q - 3*q - q + (0 - 2 + 0)*(0*q + 3*q - q) - 1 - q + 1) to p*q**2 + d*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes after 6:48 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4813634*g**2 - 1507535*g**2 - 817095*g**2.\nAnswer: -7138264*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2843648?\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4269307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of j**5\/60 + j**4\/12 - j**3\/2 + 10*j**2. Let q be (-2)\/(-4)*(-2 - 6). Give t(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9457873.\nAnswer: 199, 47527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 27*o - 31*o + 8. Let i(g) = -3*g**o - 3 - g**3 - 4 - 12*g - 3*g**2. Calculate the remainder when 110 is divided by i(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.2 and -0.0514.\nAnswer: 0.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be (7 - 0)*24\/7. Suppose 2*o - 14 = y. What is the tens digit of (-2 + o - -1) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.13 - 0.6. Let j = 0.27 - v. Is 0.2 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -860 + -248?\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ye when two letters picked without replacement from {b: 7, y: 2, k: 1, e: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -130 times 454\nAnswer: -59020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -18*l**3 - 3*l**2 + 2*l + 1. Let h = 317 + -321. List the prime factors of a(h).\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by -239.\nAnswer: -5\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 18?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3 (b) -115\/19 (c) 0 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * -19132144\nAnswer: -5739643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7? (a) 1\/6 (b) 6.1 (c) -0.4 (d) 16\/7 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Is -13 greater than 212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(15)\/sqrt(3)*-6 + (-4 + sqrt(180) + sqrt(5))**2.\nAnswer: -62*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, b: 5, a: 2, n: 7, o: 1}. What is prob of sequence aon?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + -6 + (-1 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 220 + -3?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -49\/2 - -24. Let t = 0 + 0. Suppose -n = 1 - t. Is w >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7543 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 8*u**2. Let h(k) = 258*k**2 + 25*k - 5. Let z(t) = -13287*t**2 - 1290*t + 258. Let f(x) = 258*h(x) + 5*z(x). Give -2*f(l) + 33*j(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and -1\/161031159 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 446715.6km?\nAnswer: 446715600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -302 + 301 + 42 + -1 - -3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 88356679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 844\/9, 0.5, -8\/9?\nAnswer: 844\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 11:02 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 - o**2 - 2*o - 3. Let l = 3 + -5. Let b be z(l). What is the third derivative of -2*h**2 - b*h**2 - 4*h**3 + 2*h**3 + 4*h**2 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.16, 5, 1\/2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 20985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of r**3\/3 + r + 35. Determine a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.7 - 0.3. Let j = q - -1.99. Let r = 5.01 + j. What is the closest to 0.2 in -5, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -7*z. Let v(y) be the second derivative of 10*y**3\/3 + y + 11. Determine 11*t(q) + 4*v(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 24823 + -24803. Solve 0 = -5*v + y + 27 - 3, -2*v + 3*y + d = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -697*c*x**3 + 13132*c*x**2 + 760897*c + 2*x**3 + 56*x wrt x.\nAnswer: -4182*c*x + 26264*c + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20 and 732846?\nAnswer: 7328460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -36 - -40. Suppose 0 = -i*o + 16, 3*o - 7*o - 2 = -2*d. Suppose 3*v - d = -0*v + 4*z, 5*v - 15 = 2*z. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132) - ((sqrt(132) + sqrt(132)*1*-4 + sqrt(132) + sqrt(132) - sqrt(132)) + sqrt(132)))\/(sqrt(48)*-3)*2.\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2272185?\nAnswer: 3, 5, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of u**3*x**2 - 217*u**3*x - 15*u**2*x - 5*u*x**2 wrt u.\nAnswer: 6*x**2 - 1302*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 3 = -z. Let r(j) = -5*j + 7624*j**3 + 3*j**2 + j**2 - 25703*j**z. Let o be r(-5). What is o rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*j - x - 36 + 11, -3*j - 5*x + 36 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 21\/((3\/18)\/1). Suppose -m - 87 = -3*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*f - 10*f + 10 - 16 + 20.\nAnswer: f + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-204)\/(-10) - 2\/5 and ((-15)\/(-12) + 0)*(13 + 3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w + 4*z - 16, 21 = 2*w - w + 5*z. Let i = -41\/48 - -3\/16. Let o = -5 + 2. Sort o, w, i in descending order.\nAnswer: i, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*i, -8 = 4*n + 5*i + 6. Suppose -2*j - 4*u + 50 = 0, 2*j + 5*u - 28 = 27. Let a = j + n. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4\/(-32) - (-51)\/24. What is x in -25*x**3 - x**4 + 4*x + 3*x**2 + 33*x**3 + 3*x**4 + 7*x**o = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 9291855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -302*p. Let d(a) = -4*a. Give d(m(c)).\nAnswer: 1208*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 24719 + -6606. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 + -2. Let i = 37.8 + -37.5. What is the closest to v in -2, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.1 times -35318?\nAnswer: 109485.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11204, 25016, 38844, 52694, 66572, 80484?\nAnswer: 94436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -432946 or -432948?\nAnswer: -432948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 6*j - 4. Let y(s) = -s**3 - 15*s**2 - 14*s + 8. Let v be y(-14). List the prime factors of b(v).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 9 = r + 19, 0 = 4*u - 12. Solve 3*y - 3*l + 8 = r*y, 3*l - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 304446119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*k - 1311 - 673. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 12447, 10527, 8595, 6645, 4671, 2667, 627?\n\"Answer: -j**3 - 1913*j + 14361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(117) - 4*(-2*sqrt(117) - sqrt(117)))*-5)\/(sqrt(54)\/(sqrt(6)*2) - -3*-2*sqrt(9)))**2.\nAnswer: 219700\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 + 4.9. Put -1\/8, v, 2\/3 in increasing order.\nAnswer: -1\/8, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1921082651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i. Suppose -4*a + 5*u = -21, 3*a + u - 19 = -2*a. Suppose -v - 4*y + 6*y = 0, 12 = v + a*y. Let o(z) = z - 6*z + v*z. Determine w(o(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 - 9*h**2 + 0 + (3 - 3 - 2*h)*(53066*h - 28015*h - 26669*h) to the form y*h**2 + j + r*h and give y.\nAnswer: 3227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 2\/5 (b) -0.0218 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12 - -1) + -67 + 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = -3\/311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11010010011011011 + 100101?\nAnswer: -11010010010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of 0*s + 0*s**2 - 11\/3*s**3 + 0*s**5 - 1\/8*s**4 + 1\/480*s**6 + 5. Let c(g) be the third derivative of b(g). Factor c(r).\nAnswer: 3*(r - 2)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 9) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11 + -12. Let x = 0.5 + -0.3. Which is the nearest to g? (a) x (b) -3\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (29\/(-290))\/((-4)\/5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*k = -4*q - 6*k + 12, 4*q - 2*k = 18. Solve 3*f = 3*r - 6*r + 12, 0 = 3*f + r - q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/273 and -113\/45162.\nAnswer: 316134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -19*h**2 - 4*h - 6. Let p(b) = 52*b**2 + 12*b + 18. Calculate -8*k(o) - 3*p(o).\nAnswer: -4*o**2 - 4*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 231 and 120.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 139\/6 and -77\/1774.\nAnswer: 5322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of 122*q**6\/3 - 329*q**3\/3 + 1292. Find the third derivative of o(j) wrt j.\nAnswer: 14640*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 7 and 11427.064.\nAnswer: 11434.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 2 r, and 1 s when four letters picked without replacement from {t: 2, q: 2, s: 2, r: 5, i: 8, o: 1}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 1065*u - 1034*u - 57 = j, -4*j + 10 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -458988.1700008 - -458988. Let o = -34.27 + 34.1. Let g = o - j. Round g to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -3*y. Let d be k(-1). Suppose 0 = -5*g - 3*a + 11, 0*a + 10 = 4*g + d*a. Solve -q = t - 4*q + g, 5*t + 19 = q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (111\/74)\/(1\/54) - 1. What is the nearest to 0 in 0.3, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:41 AM and 7:53 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -14071\/320 greater than or equal to -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - -6 - (2 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**2 + 8*g + 8. Give t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**3 - 2090*k**2 + 554064*k + 2. What is a(238)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -23 + 27. Let a be ((-2)\/p*1)\/((-3)\/4392). Suppose -3*w - w - 3*d - 1474 = 0, a = -2*w - 4*d. Round w to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 186 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 370, 730, 972, 1108, 1150, 1110, 1000, 832?\n\"Answer: 2*c**3 - 71*c**2 + 559*c - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-32)\/(-6))\/((-2)\/(-3)). Sort -3, 0, l in descending order.\nAnswer: l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 2*t + 13*t**3 - 12256*t**4 + 12255*t**4 + 5*t**2 - 1 + 19*t**2 to q*t + m*t**2 + s*t**3 + p*t**4 + i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*y**3 - 12*y**3 + 5*y**3 - 22*y**3.\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -94 - 37547?\nAnswer: -3761b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b + 4*f - 28, 3*f = 3*b + f + 46. Let t be (-51)\/(-1)*2\/3. Let g = b + t. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -41 + 46. Calculate the greatest common divisor of 40 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/((-4004)\/39)*7\/(-2).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1168, -1858, -2564, -3292, -4048, -4838, -5668?\n\"Answer: -i**3 - 2*i**2 - 677*i - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -179\/16 + -73\/16. Find the common denominator of -4 + 322*3\/132 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 1 + 0*m**3 - m - m**3 - 8. Let w(g) = -1. Let b(n) = 6. Let k(j) = -b(j) - 5*w(j). Determine 5*k(r) - z(r).\nAnswer: r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 162 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that 4\/5 - 1\/5*g**2 + 1\/5*g**3 - 4\/5*g = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 - 1)*(-y**2 - 2 + 2) + (0*y**2 - 2*y**2 + 4*y**2)*(-1 + 0 - 1).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 7 = 5. Let f(d) = 3*d + 1. Let g(q) = 3 - 4 - 2*q + 0. Let t be 1\/3*-5*3. Give t*g(u) + y*f(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 11*s**3 + 9*s**2 + 18*s - 7. Let i(d) = -13*d**3 - 10*d**2 - 20*d + 6. Let j(m) = 7*h(m) + 6*i(m). Give j(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 366 a factor of 2207712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 16 = 0, 4*m + 443 + 29 = f. Let o = 2105\/18 + m. Which is bigger: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 - k**2 - 1. Let d(o) = 12*o**2 + 84*o. Let s be d(-7). Calculate a(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -0.02 (c) 30 (d) 2\/101 (e) 2 (f) 2\/3 (g) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*o - o + 3*o + 0 - o + 0 + (-3*o + 0*o + 2*o)*(-3 + 4 + 1) - 999*o + 216223 - 216223 to f*o + h and give f.\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Put -4759, -6\/7, 0.2, 22\/15 in ascending order.\nAnswer: -4759, -6\/7, 0.2, 22\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -78*n + 24. Let v(f) = -12*f + 4. Let k(u) = -12*v(u) + 2*x(u). Let w(t) be the second derivative of 7*t**4\/12 + 3*t. What is k(w(h))?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17.50064 + -0.09936. Which is the closest to 0.09? (a) 0 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1286 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*d + 2*d + 2. Suppose 0 = -5*p + 25, d = -4*o + 4*p - 3. Suppose -z + 1 = -o. Solve -4*f - 14 = r, 0*r - r - 18 = z*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1428, -1430, -1434, -1440, -1448, -1458, -1470?\n\"Answer: -z**2 + z - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 + f - 19. Let l be w(-3). Which is the nearest to 11? (a) 0.4 (b) 13 (c) 0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -265077 and -4.\nAnswer: -265081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the second derivative of -h**9\/504 - h**8\/84 - h**7\/35 - h**6\/30 - h**5\/60 - h**3\/3 + 2*h. Let m(w) be the second derivative of f(w). Factor m(y).\nAnswer: -2*y*(y + 1)**3*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 114 + -109. Sort 1, w, 183.\nAnswer: 1, w, 183","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12100130 (base 4) in base 10?\nAnswer: 25628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -6203 rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/1)\/((-300)\/(-40)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -412, 15, -7098 in descending order.\nAnswer: 15, -3, -412, -7098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*g**3 - 7*g**2 + 68*g**3 + 0*g**2 - 136*g**3.\nAnswer: -46*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r - 6. Determine h(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or -692\/223?\nAnswer: -692\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-475)\/425*(-765)\/90?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7776268853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 3212?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(12) + 2).\nAnswer: -2*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 230320543 to the power of 1\/2, to the nearest integer?\nAnswer: 15176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*t**4 + 2*t**4 + 97*t - t**3 - 17*t**4 wrt t?\nAnswer: -252*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**3 - 13*p**2 + 35*p + 119. What is t(-14)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -138*f + 6365191 + 25225162 + 17862085. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3 and 56783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -103967 at most as big as -1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 115.7886067 plus -2602?\nAnswer: -2486.2113933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10 + 17. Let o = -8 + g. Put -2, o, 2 in decreasing order.\nAnswer: 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*p + 0*p - 4*p)*(2*p - 4*p + 0*p + 5 + 2*p - 5 + (5*p + 0*p - 6*p)*(-2 - 3 + 4))*(-9005*p - 6611*p - 21290*p + 9341*p).\nAnswer: -55130*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 6\/5 (b) -5 (c) 2\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(((-77)\/(-55))\/(3\/(-15)) - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 1188*f - 2453*f + 1261*f. Let q(r) = 1301*r**2 - 2*r. Determine n(q(u)).\nAnswer: -5204*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10112\/13 - -778. Find m, given that 2\/13*m**3 - v*m - 2\/13*m**2 + 2\/13 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-3\/10)\/(i*i**0)*i**18\/i*i**(15\/4) assuming i is positive.\nAnswer: i**(389\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7120 + 7114. Let l(m) = -10*m - 37. Give l(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -2*t**3 + 100*t**2 - 333*t + 2367. What is w(47)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(2\/5)*h)\/h**(-5\/4))\/(h**7)**(-2\/91) assuming h is positive.\nAnswer: h**(729\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 12 less than or equal to 86.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3\/740 + 731\/2220. Let w = 8 - 1. Let v = -19 + w. Are p and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**2 + 7*c + 10. Let l = -11 - -17. Suppose -a = -3, 3*a = -3*x - 2*a - l. List the prime factors of r(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (4\/(-5))\/(18\/45). Suppose 0 = -s - 3*z + 2, -s = 4*z - 3*z - 2. Let n(x) = -4 - 52*x**2 + 51*x**s + x + 6. Calculate n(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -51 smaller than -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of o**3*q**2*r**2 - 5*o**3*q*r**3 - o**3*q + o**2*q**2*r**2 + 7*o**2*q**2*r - 5*o**2*r + 9*o*q**2*r**3 - 28*r**3 wrt r?\nAnswer: -30*o**3*q + 54*o*q**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -5166669941 take away 56?\nAnswer: -5166669997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -42 + 294. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 162756 divided by -18?\nAnswer: -9042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -14 - 56105?\nAnswer: -56119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -376 divided by 4.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -486 + 2*x + 958 - 1269*x**2 - 465.\nAnswer: -1269*x**2 + 2*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {t: 2, c: 1, n: 1, m: 1, s: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*f + 3*a, 5*f - 13 = 2*f + a. Solve -55*t**4 + 4*t**2 - 57*t**4 + 108*t**f = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert c8a30b (base 14) to base 9.\nAnswer: 13687086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of -y**4\/4 - y**3\/3 + 2*y**2 - y + 3. Let z be a(-3). Solve z*v = -5*j - 20, 2*j - 2*v - 2*v + 2 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**3 - 3239*q**2 - 171981*q + 489. Determine g(-54).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5 - -29) + (-10)\/(-5). Calculate the greatest common divisor of 2197 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7167*b**2 - 1327*b**2 + 804*b**2 + 2911*b**2 in the form w*b + i*b**2 + h and give i.\nAnswer: 9555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of f**4\/48 - 11*f**3\/3 - 45*f**2\/2 - 124*f - 2. Factor y(b).\nAnswer: (b - 90)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/1991 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.01, -1, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2024 and 1001?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 493.0167m in millimeters?\nAnswer: 493016.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7174129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -96, 2\/3, -0.4, 3\/5, -0.2 in descending order.\nAnswer: 2\/3, 3\/5, -0.2, -0.4, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 3, 36, 4 in decreasing order.\nAnswer: 36, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 5 - 3)*(-3 + 3 - 2) + 1 + 6 + 1)*(-122*x - 215 + 215).\nAnswer: -2440*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 36.92 - 38.92. Is q less than 1\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 30412214 (base 5) to base 13\nAnswer: 88a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2768*v + 5 - 2 - 3.\nAnswer: 2768*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2670035367.\nAnswer: 3, 10133, 87833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*(x\/(x*x**(1\/4)\/x))\/x*(x*x**(1\/5)\/x)\/x*x)\/(x\/x**0)**(5\/2)*(x**5\/(x\/((x*x**3\/x)\/x)*x))**18 assuming x is positive.\nAnswer: x**(1769\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7687000 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**3 + 2*z**2 + z + 2. Let m be n(3). Let a(v) = 2*v**2 + 1. Is a(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -64*f + 894. Give o(9).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 145*l**2 + 130*l**2 - 277*l**2. Let q(z) = -852*z**2 + 2*z. What is q(k(d))?\nAnswer: -3408*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (84 - 11*x - 84)*(-2*x - 4*x - 17*x) - x + 2*x**2 + 2 - 3*x - 3 + (x - x**2 - x)*(-1 + 0 + 0) - 2*x**2 + 5*x**2 - x**2.\nAnswer: 258*x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be 17 + -19 - (0 - 34). Which is bigger: 23 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -1\/3 (c) -6.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/36)\/(21\/252).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -2*w + 3. Let q be i(8). Let k = -40 - q. Calculate the common denominator of (-18)\/(-40)*k\/(-3) and -41\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.5506 + 1.5506. Which is the second smallest value? (a) 1\/13 (b) r (c) 2\/11 (d) 0 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x - 24. Let n(w) = -1. Let t(r) = -3*n(r) + u(r). Let i be t(23). Calculate the least common multiple of 20 and 24\/15 - i - 568\/(-20).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(153)\/(sqrt(54)\/sqrt(6)) - (-2 + sqrt(1700))**2 - (sqrt(1088)*3 + (sqrt(833) + 2 + sqrt(833))**2)).\nAnswer: -5043 - 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5367707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 3*s, 2*l - 4*s = 305 + 309. List the prime factors of l.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 12, w: 2, e: 1, t: 4}. Give prob of picking 1 t, 1 w, and 1 e.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 340 a factor of 281387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 20380727 times -4\nAnswer: -81522908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 166 or 436904\/2637?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -4*h**2 + 2 + 2*h - 3 - 4*h**2. Suppose -4*p = 19*p - 23. Give g(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 0*s + 2*s + 6141610 = 0, -4*s - 6141620 = -n. Suppose 8*r + 16*r = n. What is r rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.665045l in millilitres?\nAnswer: 3665.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/8)*x**(6\/7)*x**(-2\/15)\/x*x**(-7\/2))**(11\/7) assuming x is positive.\nAnswer: x**(-36047\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c + 6. Let y be o(-4). Let n be (-1)\/(y - 3) + 9. Suppose -14*k = -12*k - n. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 2098 = -0*k + 5*k, -1275 = -3*k + 3*p. Suppose -883 = -6*d + 2*d - 5*c, -2*d + 4*c + k = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 165 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 - 3)*(4*b - 5*b - 4*b).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes after 7:16 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1154823 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 4, 2, 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 281053763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**2 - 8*q - 4. Let r be 10 - (0 - -1 - (-9 - -7)). Give x(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 215 + -152. Calculate the remainder when j is divided by 9 + (7 - 4 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1182, -1190, -1196, -1200, -1202, -1202?\n\"Answer: i**2 - 11*i - 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 6\/11, -1279890, 6 in ascending order.\nAnswer: -1279890, 6\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h - 4*h + 3*h)*(5*h - 1244*h**3 + 2422*h**3 - 2*h**2 - 1224*h**3).\nAnswer: 46*h**4 + 2*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/48*18\/21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1343 - 1342.093. Let v = d + -0.53. Let o = 0.37907 - v. What is o rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 - (-127 - (0 - 2)). Suppose -n = -5*c - 4*w, 0*w + 2 = -2*w. Suppose -76 = -5*r - c. Calculate the least common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*t + 5*t + 21*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 41201292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-7)\/(-2 + 10\/6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 1, 1\/40, -3, -281?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be -6*((-20)\/12)\/((-2)\/(-3)). Suppose -13 - 2 = j*i. Let h(w) = -3*w**2 + 2*w + 3. Let q(l) = -l**3 - l**2 + l + 1. Give i*h(v) + 3*q(v).\nAnswer: -3*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 104611 is divided by 101550.\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -214*x = -204*x - 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x + 4. Let h be p(0). Let c be 80\/(-35) - 2\/(-7). Let q be ((-12)\/(-30))\/(c\/(-10)). Solve -q*z + h = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from ffyyyfyffyyyfffffff.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 1220*q = 49285 + 14155 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x - 2. Let o be p(6). Let f = o - 4. Let q = 13 + -18. Which is the second biggest value? (a) q (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/87 and 77\/1653?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-19)\/(-2) - (-69 + 77)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6424\/20878)\/((-580)\/(-26))?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -167 (b) 1\/4 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 2*x - 8. Let d be q(5). Suppose -3*h + 125 = d*h. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -400*c + 25 + 62*c - 11. Let y be v(-1). What is the greatest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*v + 0*v + 3*v)*(v + v - 3*v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 128922140 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54671 is divided by 26131?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -184 + 216. Suppose -4*y = 4*d - a, -8*y + 40 = -3*y + 2*d. Calculate the smallest common multiple of y and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14\/9, 0, 8 in descending order.\nAnswer: 8, 0, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 + 5*i**2 + 2*i - 3. Let a be p(-4). Find the second derivative of -5*s**a - 2*s + 2*s**5 + 7*s**5 wrt s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**2 - 2*m + 12. Determine x(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*m**2 - 91*m**2 + 7*m + 61*m**2.\nAnswer: -8*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -8621 divided by 2?\nAnswer: -8621\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 - 4\/(16\/(-10)). Let f = -29 - -42. Let n = f + -12. What is the third biggest value in n, 4\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 912 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.2, -304999, -5, -1\/4?\nAnswer: -304999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*m + 59710 + 61410 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from erzz. Give prob of sequence zz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 8*s - 5*s - 1.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 244 a factor of 65832936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -21*h - 367. Determine k(-11).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 2*8\/(-6)*(-18)\/12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**(-18)*r)\/r)\/(r\/(r\/r**(2\/13)))*r**5*r\/r**7)**29 assuming r is positive.\nAnswer: r**(-6844\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38002 + 2*y**2 - 38006 + 76008 + 0*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3441 + 10325\/3. Let r = -3 - -2. What is the closest to b in -0.05, r, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/(2\/(-4) + -1). Let i be (l\/6)\/(2\/72). Calculate the greatest common factor of 96 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-57)\/(-152)*(-2 + 39\/(-27)) and 29\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1762 is divided by 584?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -13*i**2. Let k(f) = 975*f. Calculate z(k(d)).\nAnswer: -12358125*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 121036, 484196, 1089462, 1936834, 3026312, 4357896?\n\"Answer: 121053*v**2 + v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 20 and 10398120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4944 is divided by 3821.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -332.6399 - 1.8461. Let z = -335 - l. Round z to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 58865696 by 1839553.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8\/(-20) + (-17)\/(-5). Suppose -t*d + 5*d - 50 = 0. Let v be 40\/d*(-2)\/(-8). Which is the nearest to 0.1? (a) -0.07 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 - 6. Let z = 7 + y. Let h be (-20)\/(-6) - (-5 - z). Which is greater: 4 or h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.086 + 0.05?\nAnswer: -1.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.146836 or 0.38?\nAnswer: -0.146836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*m**2 - 356719*m + 356719*m.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**2 + 3*c + 5. Let h be p(-5). Suppose 0*u - 5*u = -h. Suppose 5*n = 2*j - 6*j + 203, -3*n - u*j = -123. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*n - 2168 = 1932. Let u = n - -176. Calculate the smallest common multiple of u and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 = -4*r + t + 74, 4*t + 60 = 2*r. Suppose 0 = 14*y + 33*y - 188. Calculate the highest common divisor of r and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5619, 2, 2\/7, -13.6, 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 51122.58ml to litres.\nAnswer: 51.12258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -53 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 314400\/(-18340)*(-84)\/(-15).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 98670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 904 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 254790 and 7410?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wyzb when four letters picked without replacement from uqbuzwwzzyyzz?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h**(2\/31)*h\/h**(-25) assuming h is positive.\nAnswer: h**(839\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -75060*a**2 + 37513*a**2 + 37525*a**2. Determine c(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-18)\/q*(q\/(q**4\/q))\/q assuming q is positive.\nAnswer: q**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the first derivative of 0*l - 1\/3*l**3 + 0*l**2 - 1\/2*l**4 + 2. What is the third derivative of i(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from afaqafafaaaagfag. What is prob of picking 1 a, 1 q, and 2 g?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -5*f**2 - 21*f + 18. Let r be (-14)\/(-21) - 145\/15. Let q(k) = -12*k**2 - 42*k + 36. Let t(z) = r*l(z) + 4*q(z). Factor t(a).\nAnswer: -3*(a - 6)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 20 = 2*s, 179*o - 20 = 5*s + 184*o. Solve s*m - 29 = -35 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6, 1328178, 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -40*f**2 + 240*f - 10. Give s(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sbn when three letters picked without replacement from nsbnbbnnbnbnnsbnn.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 299 = -130*h + 134*h, -5*v - 12*h + 347 = 0. Solve v*c = 59*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9957 + -4496. What are the prime factors of b?\nAnswer: 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 14*q + 6 - 5 - 1 as u + g*q and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -11279*q = -11255*q + 624 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 - 2*o**2 - 2*o - 2. Let h(k) = -2*k + 6. Let r be h(4). Let v be g(r). Factor 1\/5*s**4 - 2\/5*s**3 + 1\/5*s**v + 0 + 0*s.\nAnswer: s**2*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**2 - 3. Let y be g(0). Let m be 1 + y*12\/9. Let x be 2 - 5409 - m - -4. Round x to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6961899984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 270*n - 2. Let y(s) = 13*s. Determine y(b(f)).\nAnswer: 3510*f - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 302, 472, 1002, 2072, 3862?\nAnswer: 6552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -10*y**3 + 433*y**2 - 579*y + 1385. Determine l(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2922*(238\/84 + -2) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 + 4*b**2 + 11*b + 8. Let d be h(6). Suppose 6 = d*v - 6. Calculate the remainder when ((-27)\/(-12))\/(2\/8) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -2*t + 2, 3*u - 5*u + 23 = 5*t. Let g be (-5 - -10) + -1 - 2. Solve v = g - t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m - 2*m**2 - 2*m)*(2 + 3 - 6)*(2*m - 4*m + m)*(-3*m + 5 - 5).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be 19\/5 - 8\/10. Suppose 2*g - 3*g**o - 65 - 4*g**2 + 65 + 5*g**3 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 96*f**4 - 49*f + 4 wrt f?\nAnswer: 1152*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the third derivative of z**5\/60 - 7*z**4\/24 + 2*z**3\/3 + 2*z**2. Let v be x(7). Suppose v*u - d = 65, -u + 55 = 3*u + d. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 + -51?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1960)*3 - sqrt(1960) - (5*sqrt(160)\/sqrt(4) - sqrt(40)))\/(sqrt(96)\/(((1*sqrt(9) - sqrt(9)) + sqrt(9))\/sqrt(3))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*d - 2, -1190 = -5*p + 5*d. Let n be 5\/3 + (-2635)\/(-93). What is the greatest common divisor of p and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*x + 6*x - x**3)*(7 - 7 - 17*x) - 2*x**4 + x**4 - x**4 to z*x**4 + y*x**2 + v*x + k*x**3 + i and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -y**2\/3 - 2932*y\/3 + 2933\/3 = 0.\nAnswer: -2933, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 154074 is divided by 154061.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that c**4\/3 + 26494*c**3 - 2544332*c**2\/3 + 3074504*c - 8905568\/3 = 0.\nAnswer: -79514, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x**2 + x**2 - 118 + 335 + 0*x**2 - x**2 + 194.\nAnswer: -x**2 + 411","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 12509.2 to the nearest 100.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 441 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 3*z**3 - 19*z**2 - 23*z + 108. What is the remainder when f(7) is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1302042 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j = -6*j - 2*q - 6, 2*j - 14 = 3*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*x + 303*x**4 - 150*x**4 - 151*x**4 + 2*x**3 + x**2 + 1 to s*x**4 + o*x + d*x**2 + c*x**3 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1709\/5 - -18779\/55. Let u be -4*(3\/(-4))\/(-1). Let h be (-1)\/(-2) + u\/2. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3064 divided by 766?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1260 and 56178?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -781, -803, -837, -883, -941?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**3 + 13*x**2 - 52*x + 49. Does 25 divide h(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2\/7 - 3012*f\/7 - 2268036\/7.\nAnswer: -(f + 1506)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - -1) + (54 - -6) + 133 + -187.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**2 + 15*y - 15. Let z be a(13). Let l be (-13 - -9) + z*1. Suppose -l*h + 6*h + 4 = 0. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -177799, 5, 7 in descending order.\nAnswer: 7, 5, -177799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(153) + 2)**2*2 + (sqrt(153) - ((sqrt(153) + -1 + sqrt(153) + -1*sqrt(153))**2 + sqrt(153))).\nAnswer: 30*sqrt(17) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -51824152085 + -739\nAnswer: -51824152824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-52)\/234 - 29\/(-9). Sort t, -2\/3, -0.4 in increasing order.\nAnswer: -2\/3, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wiiwiiiiiiiwiw. Give prob of picking 2 i and 2 w.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 840211.9t to nanograms.\nAnswer: 840211900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 39771061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 231*b + 1361*b + 538*b + 2 as a + w*b and give w.\nAnswer: 2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -49*i**2. Let w(t) = -8*t**2 - 10*t. Determine w(j(d)).\nAnswer: -19208*d**4 + 490*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 6 - 4)*(8 + 6 - 6)*(-2 + 2 + l)*(2 + 1 - 5)*(7 + 0 - 2).\nAnswer: -160*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v + 6. Let b be z(-4). Factor 5*x**2 + 2*x - b*x**2 + 2 - x**2 + 2*x.\nAnswer: 2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -236240 + 236243. Let v be 4\/22*3\/3. Let -4\/11*i**2 - 2\/11*i - v*i**h + 0 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the second derivative of w**5\/20 + 2*w**4\/3 - w**3 + 13*w**2\/2 + 35*w. Give m(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 105097455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 = -0*d - 5*d. Let n be ((44\/(-16) - -2) + 2)*4. Let h be 8*2 - (8 - (n + 1)). Solve 5*q = -h - d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 873, 1744, 2615, 3486, 4357?\n\"Answer: 871*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) 222 (b) -4 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-34)\/11 - 1 - 68\/(-153)*9.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**2 - 16*x + 12. What is z(-14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3512677 and 455.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1 + -2. Let w be ((-5168)\/720 - -7) + (-4)\/(-10). Sort c, -6, w in ascending order.\nAnswer: -6, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 5*-2.279\nAnswer: -11.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**17*s\/(s*s*s**(-13)) assuming s is positive.\nAnswer: s**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 4*t**2 - 3*t - 3. Let b(i) be the third derivative of -i**5\/60 + i**4\/24 + i**3\/6 + 26*i**2 - 3*i. Determine -3*b(w) - m(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1137027219*b - 3 - 7842*b**2 + 1 + 1137027219*b.\nAnswer: -7842*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 36020, 72060, 108106, 144164, 180240, 216340, 252470, 288636?\n\"Answer: l**3 - 3*l**2 + 36042*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 65*n - 151. Let k(w) = 6*w**2. Calculate k(y(i)).\nAnswer: 25350*i**2 - 117780*i + 136806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 9, x: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 534?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be -31*4\/(-7 + 3). Suppose 2*r + 51 = 3*o - u, -o = 4*r + 192. Let i = 41 + r. Let d(b) = -b - 4. Calculate d(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -68.06 - -58.1. Let p = 0.04 - w. Let l = p + -12. Which is the smallest value? (a) 4 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c - 2*c + 0*c - c)*(-1 - 1 + 3)*(-964*c + 1203 - 1203).\nAnswer: -964*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -15744686 (base 10) to base 14.\nAnswer: -213bc06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 7481, 29936, 67361, 119756?\n\"Answer: 7485*u**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -42048 divided by 438\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 539 or 1?\nAnswer: 539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1250413 is divided by 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*l - 279164476391 + 279164476391.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 2371*l**3 + 2469*l**3 + l**2 - 1076*l**3.\nAnswer: -978*l**3 + l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -4*i**3 - 8*i**2 - 6*i + 3. Suppose -4*s - 24 = 4*h, 3*s + 11 = -4*h - 12. List the prime factors of k(h).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 49*g + 1. Let u be n(1). Let q be u\/(-25) + (1 - -3). Solve 2*t = h - q*h - 2, 0 = -h + 2*t + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 + 3*s + 39. Let h be r(8). Which is bigger: -11\/18 or h?\nAnswer: -11\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 38*h - 1. Let q be t(1). Calculate the greatest common factor of q and 888.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -20 + 20 - (1 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -196566.8718 rounded to the nearest one thousand?\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 95 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 16327655 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 34 + -29. Suppose 0 = o*x - 765 - 2025. List the prime factors of x.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 693745 is divided by 30162.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -5696713 plus -8139?\nAnswer: -5704852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 4*m**3 + 3*m**2 - m - 35. Let q(y) = y**3 + y**2. Let d(r) = 5*q(r) - v(r). List the prime factors of d(0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:25 PM and 7:07 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1082669 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1560683470 to the power of 1\/3, to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 5, 18, 37, 62, 93?\n\"Answer: 3*a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is j in 5*j**3 - 30*j**2 + 25*j = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 25756 or 25764?\nAnswer: 25756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -2475534 (base 11) to base 5.\nAnswer: -2100001420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, i: 1, r: 2, b: 1}. What is prob of picking 1 b, 1 i, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:22 PM and 8:28 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l = -6*l - 5*c - 17, l + 3*c = 57. Differentiate 141 + l*t**4 - 83 + 84 with respect to t.\nAnswer: 168*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (375\/(-6))\/(3 - (-590399)\/(-196800)). Round w to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**2\/9 - 84207818*n\/9 + 84207820\/9 = 0. What is n?\nAnswer: -42103910, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 10 = -6*a. Let y(v) = 3*v**3 + 4*v**2 - v + 2. Let s(w) = -4*w**3 - 5*w**2 + w - 3. Determine a*y(u) - 4*s(u).\nAnswer: u**3 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 3 + (-1 - 1) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -188307.7403 rounded to the nearest 1000?\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 + 201432?\nAnswer: 201431.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/(-9) - (-3 + 1850\/(-18)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -12 - 2*x**2 - 106*x + 104*x + 0*x**2 + 4*x**3. List the prime factors of w(5).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 851 (b) 31\/121 (c) -1\/5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11674720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.07306 and -201300.2?\nAnswer: 201300.12694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 67, -246, -765, -1490?\nAnswer: -2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 3 + 1191658*t**2 + 2.\nAnswer: 1191658*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 3 = 57. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -499*u**3 + 11*u**2 + 300*u**5 - 734*u**5 + u**6 - 70*u + 434*u**5 wrt u.\nAnswer: 120*u**3 - 2994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 10 = -f, 5*d = 4*f + 2*d - 38. Suppose 27 = f*i - 5. What is the second derivative of 12*u**4 - 12*u**i - 31*u - 20*u**4 - 8*u**4 wrt u?\nAnswer: -336*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 972662?\nAnswer: 2, 486331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -282, 183, -299, -5 in ascending order.\nAnswer: -299, -282, -5, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 14*k**2 + 32*k - 4. Let z(n) = 5*n**2 + 11*n - 1. Let o(x) = 4*a(x) - 11*z(x). Calculate o(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 74496.61 micrometers?\nAnswer: 74.49661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0023207935 to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -201269040*z**6 - 2581471*z**2 + 34?\nAnswer: -24152284800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = 5*f + 58320. What is f rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**7\/z)\/z**(2\/11)*(z**(-1\/4)\/z*z*z)\/z**(-3\/7)*((z*(z*z**(-6))\/z*z)\/z**(-2\/11))\/(z**2\/(z*z\/z**2)) assuming z is positive.\nAnswer: z**(33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 0*o - 4, -o = s - 9. Let w = -7 + s. Suppose 2 = -w*f + f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*d**6 + 3*d**4 + 358*d**3 + 9397*d**2 wrt d.\nAnswer: 240*d**3 + 72*d + 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 AM and 10:54 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.3389 - 2.5389. Put 0.4, 0.065, h, -0.1, 0.12 in decreasing order.\nAnswer: 0.4, 0.12, 0.065, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 5*h - 5. Let r(p) = -2 + 4*p - 3 + 2*p. Let c(o) = -6*r(o) + 7*z(o). Let k be c(-5). Is -0.1 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 + -4. Suppose -2*b + 5 = 4*y - f*y, 5*b + 5*y = 5. Solve 0*s - 24 = -4*s - 4*i, -b*s + 29 = 5*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*b - 6*b = 405. Which is bigger: 82 or b?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 + 2. Suppose 4*r + 24 = 4*z, 0 = 5*z + 4*r - 10 - g. Suppose -24 = z*n - 69. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 2, 244, 134, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*h**3 + 2*h**3 + 20*h**2 - 5*h**4 - 6*h**3 + 80*h - 7*h**3.\nAnswer: -5*h*(h - 2)*(h + 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(10))\/sqrt(5)*-5 + (-1*sqrt(8)\/sqrt(4) - (-1 + (sqrt(2) - sqrt(8)\/sqrt(4))))**2.\nAnswer: -7*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 + -5b3aab?\nAnswer: -5b3aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.09 (c) -5 (d) -0.3 (e) -2.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 11805585317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -0.3, 0, -6350142 in decreasing order.\nAnswer: 0, -2\/7, -0.3, -6350142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + t = 0. Suppose t = -4*g + 4*k - 4, -4*k = 5*g - 21 - 1. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 17*r**4 - 116*r**3 + 1303*r wrt r.\nAnswer: 204*r**2 - 696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 11, 10182.\nAnswer: 4, 11, 10182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(2\/3)*i*i*i**(2\/9))\/(i**(-7)*i*i**5) assuming i is positive.\nAnswer: i**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**2 + 3*x - 5. Let h be a(-4). Let p(j) = j**3 + j**2. Let b be p(h). Factor b*l**2 - 15*l + 11 + 5 - 3*l**3 + 12*l**2 - 10.\nAnswer: -3*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 69\/(-198) + (-74)\/(-407).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from mbxfeoooofbebmeff?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 5*n. Let y(v) = 50*v**2 + v. What is r(y(g))?\nAnswer: 250*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/17)\/((-3399)\/(-115566)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -563, -880, -1197, -1514, -1831?\nAnswer: -2148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 227645 bigger than 227644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, p: 1, a: 1}. Give prob of picking 1 n and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:21 AM and 10:11 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -697, -1368, -2063, -2794, -3573?\nAnswer: -4412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3 - -3) + -1 - -96. Let p = -45 + j. Let h be (-3)\/18 - (p\/12)\/(-1). Solve 5*g - 5 = 0, h*o - 4 = o + 2*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 2, l: 4}. Give prob of picking 2 l and 2 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a**2 - 15*a - 13. Suppose 0 = -2*d - 5*k + 1 + 11, 36 = 2*d - k. Let j be u(d). Solve -2*t - j*o = 4, 5*t + 2*o - 17 = -5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 4*b + 4*b**3 + b**2 - 3*b**3 + 4*b**2. Let r(n) = -6*n - 94. Let p be r(-15). Determine c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/(8\/(-10) - -1). Let i = -8105 - -4161. Let z be 522\/i + 1\/4. Sort -3, z, a in increasing order.\nAnswer: a, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -386.5 (b) -0.2 (c) 3 (d) 0 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24)\/10 + 16192\/5060?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -14*r - 15. Let k(l) = 10*l + 13. Let u(w) = 6*k(w) + 5*n(w). Let a(f) = 50*f - 14. Determine 3*a(s) + 14*u(s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 100 + -100.408. Round j to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170531*v + 294 = -170552*v. Let p = 9 - -12. Let u be ((-4)\/3)\/(2\/p). Do v and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -1\/297, 29, -4, 19\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 36*(7\/(-35))\/((-6)\/10). Suppose 7*x - 6*x + 5*m - 7 = 0, 0 = -3*x - 2*m + 8. Solve -x*d + y = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 x, and 2 h when four letters picked without replacement from {u: 8, x: 3, h: 6}.\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 714065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -47*t**2 + 14*t + 11. Calculate m(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -15188, -15168, -15122, -15038, -14904?\n\"Answer: 2*z**3 + z**2 + 3*z - 15194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 15213 + -15189. Which is smaller: -0.0698 or t?\nAnswer: -0.0698","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -497 + 499. Suppose d - w = n, -14*n - 14 = -9*n - 4*d. Let o(k) = k**3 + 7*k**2 + 4*k - 7. Determine o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -45, -38, -9, 42, 115, 210?\n\"Answer: 11*m**2 - 26*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.165 (b) 251.184 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -o**3*r**2*s + 2*o**3*r**2 - o**3*r*s - o**2*r + 3*o**2*s + 4*o*r**2*s - 13*s wrt r.\nAnswer: -2*o**3*s + 4*o**3 + 8*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1413, 18\/13, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1033 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(((sqrt(14)*-2)\/sqrt(7) + 4)**2 - (sqrt(2) - (sqrt(8)\/sqrt(4) + -4) - (sqrt(18)*2)\/sqrt(9))).\nAnswer: -20 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 70820 and 5.181?\nAnswer: 70814.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11111010011 - 111011?\nAnswer: -100000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, 1, -33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*g + 11*g - 9. Which is the nearest to 0? (a) -2\/7 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2.65 to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 90\/1229327 or 2\/9?\nAnswer: 90\/1229327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2711179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -333, -619, -905, -1191, -1477, -1763?\n\"Answer: -286*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16 and 688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*x - 69*x + 153 + 20*x + 19*x.\nAnswer: -2*x + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 13777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5 smaller than -26\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 15.4 and -0.108?\nAnswer: -1.6632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 209225872.\nAnswer: 2, 19, 311, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-39)\/(-260))\/(((-688)\/256)\/(-43))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 10933955 or 10933944?\nAnswer: 10933955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 227582665 + -4206.6?\nAnswer: 227578458.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4424*f + 8883*f - 8 - 9 - 4564*f)*(2 + 0 - 1) to c*f + u and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 2*sqrt(7) + (sqrt(7) - (sqrt(28) + -1*sqrt(28))**2) - (0 + (sqrt(63) - (sqrt(63) + 1))).\nAnswer: 6 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*m - 8*m + 19*m + (3*m - 3*m - 2*m)*(2 - 2 - 2) - m + 4*m - 2*m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4240597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 9, -6, 124, 5657 in decreasing order.\nAnswer: 5657, 124, 9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 - 228\/24)*14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7*i**2 - 2*i**2 + 5*i**2)*(2 + 0 + 0)*(-13 + 12*i - 20*i + 7*i) to the form h*i**2 + t + b*i**3 + c*i and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(190)*-1)\/(sqrt(60)\/sqrt(54)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 371990 greater than 743979\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.0473 + 2.45873044\nAnswer: 2.50603044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g + 1. Let v be k(-3). Let f = 7 + v. Solve 2*b = -3*i + 7, -5*i + f = b + b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**3 - 6*d**2 + 1. Let y be (-3 - 12\/(-2)) + -9. Let p be f(y). Solve 7 = -4*s - p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 59 + 3*s + 9*s - 34. Let f be p(-2). Solve -2*i + f = b + 8, 4*i + 3*b = -17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 AM and 3:24 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 3*a = -13. Suppose -a*h = -12*h. Suppose 6*o - 9*o + 633 = h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -6) + (-5 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-45)\/(-6) - (-202711)\/(-4086) - 70\/(-63)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -38*x - 1. Let j(t) = 65114*t. Give h(j(o)).\nAnswer: -2474332*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.28, 2\/79, 1162?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -88, -351, -796, -1429, -2256, -3283, -4516?\n\"Answer: -b**3 - 85*b**2 - b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3)\/18)\/(9\/(-6)). Sort t, 9, -0.4 in increasing order.\nAnswer: -0.4, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 327648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 2 a when three letters picked without replacement from {p: 3, w: 1, a: 4}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((-5)\/((-100)\/(-5))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**2 - 3. Let v(w) = -w**2 + 4*w + 9. Let q(a) = 2*a**2 - 7*a - 17. Suppose 2*n + 14 = -0*n. Let g(b) = n*v(b) - 4*q(b). Calculate 3*g(y) + 5*j(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 417*p + 14181. What is f(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -375943 less than -4?\nAnswer: 375939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -80797 + -0.03?\nAnswer: -80797.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -65 (base 14) to base 15.\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 4*i - 51, 0*i + 2*i + 2*j = 12. Suppose -4*w - 95 = -i*w. Let m(v) = -v**2 + v - v + w*v**2. Let f(a) = 2*a**2. What is f(m(p))?\nAnswer: 648*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2898?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61560203?\nAnswer: 31, 67, 107, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 5594 divide 3812334226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 78684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 4, 0, 5, 1 in descending order.\nAnswer: 5, 4, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -8*r**5 - 90*r**4 - 102*r**3 - 20*r**2 = 0.\nAnswer: -10, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6478, 6786, 7092, 7396, 7698, 7998, 8296?\nAnswer: 8592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*d - 13. Solve 8 = b + 3*n, -5*b + d*b = -5*n + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 2*a = 3*m - 28, -5*m + 75 = 4*a. Let d = -8 + m. Solve -d*b - 4*y + 18 = 0, -2*b - 3*b - 3*y + 19 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = k + 5, 5*q - 35 = 4*k - 10. Suppose 0 = 2*v + u - 27, -7*v = -3*v - q*u - 75. Let i be (-17 + v)*(1 - (2 + 0)). Solve i*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -35345878*w**2 - 54813*w + 155 wrt w?\nAnswer: -70691756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -7497*r + 23 = -5*v - 7496*r, -2*r - 9 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -2*d - 4. Let z be o(-4). Suppose -z*h = h - 15. Factor -b - b + 1 - 12*b**2 + h*b.\nAnswer: -(3*b - 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1143116341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9288 and 23021512.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (38 + -37)\/(3\/(-5))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 4 + 0 = 0. What is the first derivative of -4*i - i + 3 - l*i wrt i?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 20, -877, -8 in ascending order.\nAnswer: -877, -8, -4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 170179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 58651119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4849378 and 5246.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -3023 (base 4) to base 3.\nAnswer: -21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qzpzmjxq. Give prob of picking 1 z, 1 j, and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 359737237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/(-7) - (-284)\/14. Let g(h) = 3*h**2 + 14*h - 3. Let c be g(-6). Let d = c - j. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2688\/448*2\/(-4)*14\/(-49)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -44 (c) -1\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1714, 6960, 15692, 27904, 43590, 62744, 85360, 111432?\nAnswer: 140954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 0*y = -4. Let l be y - ((-4)\/4 - 22). What is the common denominator of 24\/36 + (-44)\/l and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(1\/3)*i)**(1\/77))**(-1\/10) assuming i is positive.\nAnswer: i**(-2\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(5*(sqrt(891) + 0) + sqrt(891)).\nAnswer: 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 15.6 - -2.4. Let v = -2 - t. Let a = v - -10. Are a and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -814*g + 7*g**2 + 814*g.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -15262 or -14052?\nAnswer: -14052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in fifteen quarters of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes before 6:48 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 74 - 131?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 - 81 = -4*w. Let s(a) = 105*a + 426. Calculate the smallest common multiple of w and s(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**2 + 5*j + 2. Let d be s(0). Let a = 41 - 57. Let k = -11 - a. Put d, k, -0.04 in descending order.\nAnswer: k, d, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c - 5. Let y be v(7). Let s = 3 + 1. Let g be (-1*4\/8)\/((-1)\/s). Solve 20 = 5*j + 2*h, y + g = j - 5*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 205 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, v: 3, d: 1, q: 1, s: 2, z: 2}. What is prob of sequence dz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u - 5. Let b be x(7). Suppose b*t - 2 = 3*a + 2, -5*t = 20. Let k(m) = 2*m**2 + 7*m + 6. Let q be k(a). Solve 2 - q = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d - 6. Let v be l(-7). Let z = 13 + v. Suppose 3*o + 1547 = 5*p - z*o, -4*p + 2*o = -1236. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times -0.016\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-23 - -1)\/(8\/(-16)). What is the greatest common factor of 704 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -320, 6, -2, 3\/16 in increasing order.\nAnswer: -320, -2, 3\/16, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the second derivative of 38*f + 0*f**2 + 1\/9*f**3 - 1\/12*f**5 + 1\/42*f**7 + 1\/36*f**4 + 0 - 1\/90*f**6. Determine y, given that o(y) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -14 - -25. Suppose -7 = -3*o + n. Let m(y) = y**3 - 7*y**2 + 7*y - 3. Determine m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 5*u - 4*u. Let y(l) = -29*l - 2. Let t be y(u). Let z = 119 - t. Let p(r) = 4*r - 4. What is p(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2638, -2643, -2648, -2653, -2658, -2663?\nAnswer: -2668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o + o + 0*o)*(4*o - 5*o + 3*o) + 147*o**2 - 485*o**2 + 258*o**2.\nAnswer: -82*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 59 + -41. What is the remainder when f is divided by -5*3\/9*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*z**2 + 4*z**2 + z**2 + (2 - 2*z - 2)*(-2*z - z + z) + 0*z - 2*z**2 + 0*z + 12*z**2 + 12*z - 12*z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 7840 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -68 (base 15) to base 4\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8732 or -8745?\nAnswer: -8732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 420809*y + 421018. Give v(-1).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 610 (base 14) in base 9?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/(-7) + (-75)\/(-7). Suppose 0 = -w + 58*u - 53*u + 2, 5*w - 10 = 2*u. Let c = w + g. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 80 + -268*(-9711)\/(-32536).\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 209065551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 3 c when four letters picked without replacement from cecieiccvcecce.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the third derivative of 1\/80*c**6 - 3\/70*c**7 + 0*c + 0 - 7\/4*c**3 - 1\/16*c**4 - 296*c**2 + 13\/40*c**5. Let q(v) = 0. Calculate v.\nAnswer: -1, 1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*v - 22 + 198 = 0. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 4*h**4 + 7*h**3 - 7*h - 48. Let f(o) = -o**4 - 2*o**3 + 2*o + 16. Let s(u) = -7*f(u) - 2*z(u). Differentiate s(a) with respect to a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 629 less than -0.91863779?\nAnswer: -629.91863779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -10 + 13 + 2*h + 0*h - 9. Determine c(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.5203 - 0.1203. What is the third smallest value in g, -0.1, 29\/15?\nAnswer: 29\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -501, -5, -2, -27, 2 in decreasing order.\nAnswer: 2, -2, -5, -27, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 13) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 12*k + 9. Let f be b(-2). Which is smaller: f or -41\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, e: 4, k: 5}. What is prob of sequence ke?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 440 + -440. Solve -7*t + 14 = -y*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/32 and 99\/112.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 36 (b) 1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 164, 0.01, 26, 1\/9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17271515?\nAnswer: 5, 3454303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-3*(sqrt(405) + (-2*sqrt(405) - sqrt(405) - sqrt(405))) - -6*(sqrt(405) + sqrt(405)*1 - sqrt(405)))**2*2.\nAnswer: 364500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o + 4*o + o)*(-182*o - 107*o + 57*o).\nAnswer: -232*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1\/3, -3, -2.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 66.00211 - 66. Round l to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8809?\nAnswer: 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/8, -0.18, -1\/2, -0.1 in descending order.\nAnswer: 3\/8, -0.1, -0.18, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -16583*o**4 + 2*o + 16585*o**4 - 3*o - 4*o**3 + 1 in the form r*o**2 + x + z*o + n*o**3 + v*o**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes before 3:53 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/12 and 39\/8637790?\nAnswer: 51826740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 - 7*g - 7. Let o be u(-5). Suppose 6 = c - 3*c - a, 3*c + 5*a + 23 = 0. Let l = o + c. Solve l = j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 111*q + 154*q - 191*q + 342*q.\nAnswer: 416*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 68629.2ml in litres?\nAnswer: 68.6292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*t = -36*t + 2436300. What is t rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -1 (b) -46 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 0 + 2*p - 3 + (2*p + 0*p + 0*p)*(0 + 3 - 5) - p + 0*p - p + p + 3*p - 3*p.\nAnswer: -3*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (n + 2*n - 2*n)*(6*n**4 - 5*n**4 + 3*n**4) - n**2 - 2*n**5 + n**2 + n**5 + 0*n**5 - 2*n**5 + (0*n**2 + 2*n**2 - 4*n**2)*(n**2 - n**3 - n**2).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 27 = -3*g, 0 = -z - z + 3*g + 20. Suppose -3 = -z*w + 6*w. Suppose 5*p - 8416 = -4*m, -w*m + 2*p + 6183 = -106. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -316*d = 179*d + 2501 - 6461 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 9*u - 3*u + 0*u + 6 - 5*u**2 + 8*u - u**3. Let w be l(-7). Let q(g) = -g**2 + 6*g + 1. Let k be q(5). Is k less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2517540?\nAnswer: 2, 3, 5, 41959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o**2 - 2*o**2 + 3*o**2)*(4 - 10909*o + 5454*o - 12*o**2 + 5454*o).\nAnswer: 36*o**4 + 3*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -32750000 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1347268?\nAnswer: 2, 13, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 16 = 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {m: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-52) - 201\/39\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43587010 is divided by 2445.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -437131985, -437131983, -437131981, -437131979, -437131977, -437131975?\n\"Answer: 2*k - 437131987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3223 times 110?\nAnswer: 354530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-16)\/(3 + -7) - -24. Suppose 0 = -4*o + 5*y + 28, -5*o - 2*y + b + 7 = 0. What is the remainder when 26 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the third derivative of -o**8\/20160 - o**7\/2520 - o**6\/240 - 2*o**5\/15 + 4*o**2. Let s(t) be the third derivative of n(t). Calculate s(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 6 + 6)*(i + 3 - 3) - 121*i + 47*i - 133*i.\nAnswer: -203*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 105167 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 56358 - 11173909?\nAnswer: -11117551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(847) + 1)*-2 + sqrt(847))**2 + (1 + sqrt(847))**2*6 + ((sqrt(847) + 3)*5*-4*5)**2.\nAnswer: 660176*sqrt(7) + 8565939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3617360, 7235040, 10852720, 14470400?\nAnswer: 18088080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -30 by -7.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 - ((-32169)\/17586)\/(-3 - -1). Let n = -2\/977 + f. Calculate the common denominator of -55\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -36*(1\/(-7) + (-112513)\/1652) + 5. Which is bigger: 2464 or p?\nAnswer: 2464","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(5\/6)*l*l*l**6*l*l)\/(l**7\/(l**0*l)) assuming l is positive.\nAnswer: l**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -206, -209, -210, -209?\n\"Answer: x**2 - 6*x - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(55) - sqrt(55))\/sqrt(11) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (c**4 + 2*c**4 + c**4)*(-51 + 102 - 54 - 12*c).\nAnswer: -48*c**5 - 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43484.\nAnswer: 2, 7, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1, -15, -55, -131, -255, -439, -695, -1035?\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*r + 68 = -5*k, 278*k + 28 = 274*k + 2*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 253\/4*i + 1\/4*i**3 - 63\/2 - 32*i**2 = 0.\nAnswer: 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 28660, 28586, 28458, 28276, 28040?\nAnswer: 27750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 + o**2 + o - 1. Let h(v) = -5*v**3 - 48*v**2 - 3*v + 5. Give h(w) + 3*q(w).\nAnswer: -2*w**3 - 45*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1245bb8 - 2?\nAnswer: 1245bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be 75\/10*(4\/(-6) - -2). Suppose -2*a + 52 = -4*m, a + l*m - 21 = 7*m. What is the remainder when 47 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 35*j + 23*j = 336 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1598, -2428, -3258?\nAnswer: -4088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1291814.\nAnswer: 2, 645907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (2 - (21 - -5)) + 12 - -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((36\/(-15))\/((-36)\/(-90)))\/((-12)\/(-3))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -4*r - 14. Let g = r + 6. Let m(o) = 0 - 1 - 2*o**g - 3*o + o - o. Give m(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2547430265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.36 + -0.04. Let k = 0.1 - 0.5. Let o = h - k. Sort -2\/11, o, -4\/3 in ascending order.\nAnswer: -4\/3, -2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -5*x**3 - x**2 - 113*x - 357. Give f(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4739*p + 378?\nAnswer: 4739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p*p**0*p)\/p*p*p)**(-21\/2)*p**(-1)*p**(2\/13)*((p**(-5\/4)\/p)\/p)\/p**(-1\/4)*(p*((p*p\/p**(-1)*p)\/p)\/p)**12 assuming p is positive.\nAnswer: p**(-128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 217402843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 616*p**2 + 595*p - 24. Calculate g(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 8*o**5 + 3162*o**4 - 1092428*o**3 + 71736464*o**2 + 1092420*o - 71739626 = 0.\nAnswer: -2533\/4, -1, 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 - -4. Let y = -2 - l. Let h = -6.4 + y. What is h rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 42 = 2*c. Let u(b) = -b**3 - 14*b**2 + 19. Calculate the remainder when u(c) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*n**4*w**2 + 6810*n**4*w + 225*n**2*w**2 - 7*n**2*w + 2*n*w wrt n?\nAnswer: 72*n*w**2 + 163440*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5309 + -5305. Sort 29, m, 0 in descending order.\nAnswer: 29, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1538?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(16)\/sqrt(32) + sqrt(200)*-2)**2.\nAnswer: -195*sqrt(2) + 1571\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*k - 12*k - k to the form g + b*k and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 6 - 2*r + 45 + 6*r - r. Let v be y(-17). Solve v*w - 6 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/(-6))\/((-17)\/((-816)\/(-64848))). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (-3 + 6 - (28 - (11 - 9)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -2*l + 601. Let a(p) = 6*p**2 - p - 2. What is w(a(j))?\nAnswer: -12*j**2 + 2*j + 605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/7, -7074, 16.08 in ascending order.\nAnswer: -7074, -4\/7, 16.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 6676.52 * -57\nAnswer: -380561.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*((-5)\/(-15))\/(2\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dor when three letters picked without replacement from {k: 3, p: 1, u: 1, o: 3, r: 2, d: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16 + 24. Let s be (m\/12)\/((-14)\/(-6)). Let v = -431 + 435. Which is the third biggest value? (a) 0.1 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s - 10. Let w be i(-8). Let q = w + 4. Suppose 0 = z - 3*l - 21 - 7, -q*z + 2*l = -48. Solve 4*r - 4*a = -8, 0*a + z = -5*r + a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -48038473 + 48042253 = -90*o for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-44)\/(-55)*(-5)\/2. Let u be 5\/(15\/k) + (-46)\/(-42). Determine z so that 0 - u*z**3 + 0*z**2 + 12\/7*z = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10388*h - 2600*h + 2731*h + 6061*h to the form b + d*h and give d.\nAnswer: 16580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the first derivative of -t**8\/7560 - t**7\/315 - t**6\/30 - t**5\/5 - 3*t**4\/4 - t**3 - 4. Let s(r) be the third derivative of b(r). Factor s(o).\nAnswer: -2*(o + 3)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 180*u**2 + 181*u**2 - 545*u**2 + 186*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 9. Let f be 0\/(-1 + y + -2). Suppose 0 = c - f*c. Solve -2*b - 1 - 5 = -4*a, c = 4*b + 4*a - 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7083*f = -6991*f + 4140 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**2 + 13 - k**3 + 3 - 23 + 6. Let v(j) = -9*j**3 - 5*j**2 - 5. Calculate -5*d(c) + v(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 + (0 - 5173\/(-2)). Let a = 2536 - q. Suppose -3*g - 10 = -4*o + 12, 5*g = -4*o + 6. Find the common denominator of a and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120)*-1*-2 - sqrt(120))\/((-1*sqrt(72) + sqrt(72) - sqrt(72) - sqrt(72))\/sqrt(12))*-5)**2*3.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-18)\/(-6)*1 - -3. Let j be 2*(-24)\/16 + g. Solve 3*p - n = -3 + 6, j*n + 9 = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10158, 10138, 10076, 9948, 9730, 9398?\nAnswer: 8928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 20*i**2*n**2*q**2*z**2 - i**2*n*q**2 + i**2*q*z**2 - i*n**2*q**2 + 2*i*n*z + 4*n*q**2*z wrt z?\nAnswer: 40*i**2*n**2*q**2 + 2*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*t + 26 = -14. Suppose -t*i + 155 = -1917. Does 74 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b**2\/5 - 60592*b\/5 - 424046\/5 = 0. What is b?\nAnswer: -30289, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 106568 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 539257.7 rounded to the nearest 1000?\nAnswer: 539000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -629 + 636. Let z = 20 - 9. What is the remainder when z is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3849462017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 3, -123, -3 in descending order.\nAnswer: 3, -1, -3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmmmmmmmmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -154*b - 50*b - 24*b**3 - 74*b.\nAnswer: -24*b**3 - 278*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -822 - -1216. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 137, 299, 461, 623?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 314, 1241, 2792, 4973, 7790, 11249, 15356?\nAnswer: 20117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of p**7\/15 - 5*p**3\/6 + 24*p**2. Differentiate h(n) wrt n.\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, 1, -8, -23?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 23 = -3*v - 5*w - 24, 368*v - w = 365*v - 20 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes after 9:30 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -6*s + 3*s - 213, 0 = -5*s + x - 377. Let v = 270 + s. What is the tens digit of (-12)\/(-16) + v\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 - 8*u**2 - 4*u + 5. Let d be s(-7). What are the prime factors of (-21)\/(-4) - (-4)\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -746*z. Let p(s) = -12*s**2 - 13*s. Calculate y(p(c)).\nAnswer: 8952*c**2 + 9698*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together -263.24252 and -15.\nAnswer: -278.24252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -182.77 - -1.77. Let k = a - -255. Let x = -73.9 + k. What is the biggest value in -1\/5, -2, 1\/5, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 779 + 15*g + 787 - 1559. Let b(z) = -8*z - 4. Let v = -9 - -6. Calculate v*y(t) - 5*b(t).\nAnswer: -5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 + (-6)\/9*3. Let s be f\/(-4) + (-51)\/(-6). Let p = -5 + s. Solve p*v + 11 + 3 = 5*d, -4*d + 18 = v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*g*i*r - 30*g*r**2 - 2480*g - 42*i*r**4 + 4*i wrt r.\nAnswer: 3*g*i - 60*g*r - 168*i*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-63)\/(-70))\/((-42)\/56*1).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 + 49*t**2 - 1286*t + 13622. Determine x(19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5148 + 5158.938. Let s = 0.238 - n. Let h = -15.15 - s. Round h to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((3\/(-6))\/(-1))\/(3\/(-54)). Let d be (-8)\/(-12) + (-3)\/(l\/1). Solve -5*p - d + 11 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -81, -114, -157, -216, -297, -406, -549?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1*0*(-3)\/(-6). Suppose 0 = -v*h + h - 3. Suppose h*g + 0*g - 33 = 0. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2657848931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 469*l + 8216 - 1181 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z - 4*z + 3*m - 10, 2*m = -5*z + 89. Suppose -3*y + z*y - 608 = 0. Which is greater: 40 or y?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -594 + 599.21. Let p = -11.22 + d. Let m = 5.719 + p. Round m to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence khh when three letters picked without replacement from hbkhpkhkmhphhbp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 - (-3 - (-3 - -14)). Calculate the highest common factor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44 - 8*n + 0*n + 6*n.\nAnswer: -2*n - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*(-39)\/(-26)*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - (1 + -10)) + 3 - (7 - 16).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*(sqrt(187)*3 + sqrt(187)))\/sqrt(11))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-128)\/(-22) + 2\/11?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11752196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 192118417229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 8929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 262*k**2 - 10*k + 58. What is the units digit of t(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -248527 = -228*g - 275203 for g.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve c = c + 11*c - 66 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 38148.35ug in kilograms?\nAnswer: 0.00003814835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*g - 4*g - 5*s, 7 = g - 4*s. Solve -3*b**g + 3*b + 0*b**2 + 2*b**2 + b**2 - 6 + 3*b**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 3*u + 23. Let l be z(-8). Let f be -1*(1 - (-2)\/l). Let q = -360 + 1808\/5. Is q at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15 and 56073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**4\/5 - 42*q**3\/5 + 39*q**2\/5 + 756*q\/5 + 972\/5.\nAnswer: 3*(q - 9)**2*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.01 and -731.1604.\nAnswer: -731.1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -21\/478762?\nAnswer: -21\/478762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 5, 1, -120 in descending order.\nAnswer: 6, 5, 1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 6 = -l + 5*j, 2 = -l - j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35879 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-76)\/(-399))\/((-2)\/3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:28 AM and 12:33 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 271014657 is divided by 189?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-12)\/(-114) + (-29054)\/(-152). Let p = 191 - g. Which is the nearest to p? (a) -1\/2 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:51 AM and 2:43 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*a**3*m - 181*a**3 + 13*a*m + 5*m with respect to m.\nAnswer: 4*a**3 + 13*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 57*p - 1079. Let x be z(19). Let 64\/3 + 2156\/3*c**3 - 686\/3*c**x + 656\/3*c + 728*c**2 = 0. What is c?\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5996177 + -46 + -2*3. Suppose -t - 14725875 = -13*z. What is z rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16 - -12) + -5 - -54 - 22.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, h: 1, o: 2, d: 2, e: 1}. Give prob of sequence bhe.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -120 (b) -5 (c) 0.12163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 - 1. Let x(i) = 2*i**2 + i - 3. Let h be (-37)\/(-7) - 24\/84. Let z = 6 - h. Calculate z*x(a) - 4*d(a).\nAnswer: -2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -1.51, -18, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2. Let n be (3 - -1*1)*(-4 + 2). Let w be (n\/10)\/(3\/(-60)). Let b(d) = 12*d**2 + 8*d. Let k(i) = w*a(i) - b(i). Factor k(m).\nAnswer: 4*m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t - 0*t + 12. Suppose 3*s - z = 0, 3*s + z = -t - 0. Let c be (6 + -4 + 1)*s. Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7882*q**2 + 7881*q**2 - 863 - 23644*q**2 + 863 + 7879*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/7)\/(((-44)\/(-154))\/(15\/(-40))).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes before 10:36 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 3283194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1141*g**2*r*t - 2*g**2*r*v + 2*g**2*r - 8*g*t*v - 2*g*v + 5*r*t - 2197*v wrt t.\nAnswer: -1141*g**2*r - 8*g*v + 5*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13630 + 13635. Put t, -5, 4, -2, -17 in descending order.\nAnswer: t, 4, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-104)\/39)\/(108\/(-19845)*5)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.51 + 0.11. Sort 2\/5, -4, p, -0.01 in decreasing order.\nAnswer: 2\/5, -0.01, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59465 + 59465 - 1507*i + 1508*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the first derivative of -2*z**3\/3 - 11. Suppose -4*l = l - 10. Let m(w) = 5*w**2 + 0*w**l - 2*w**2. What is u(m(n))?\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5204086 + 1?\nAnswer: 5204087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that 4*m**5 + 2180*m**4 + 316828*m**3 + 5349164*m**2 + 12039088*m - 17707264 = 0.\nAnswer: -263, -16, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3*1*(-4)\/6. Calculate the least common multiple of 20\/8*(-6)\/(-15) and 2\/(9\/(-6) - u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001104693 rounded to six dps?\nAnswer: 0.001105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*s + 33024 = -40*s. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 + -2. Suppose -v = 3*q + 2*q + 26, -4*v + 2*q = -6. Does 8 divide (v\/(-3))\/(k\/(-51))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 246\/(-1476)*(-1)\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a + 4. Let j be y(0). Let n = 308 - 242. Suppose -26 = -j*p + n. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -51329.4 or -222?\nAnswer: -51329.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n = -n - 200. Suppose -m - 130 = -135. Suppose w - 5*w - m*g = -n, -g = 5*w - 29. Do 3 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2*11\/66*2)\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9122160 is divided by 1108?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -2*w - 3. Let m(d) = -3*d - 3. Give -5*i(o) + 4*m(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 - (4 + -5 - 3). Suppose -2*p = -p - q*x - 9, 3*p + 4*x = -11. Let h(b) = 18*b + 1. Give h(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5131266635?\nAnswer: 5, 11, 19, 258437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**4 + t**3 - 8*t**2 - 4*t.\nAnswer: t*(t - 2)*(t + 2)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {j: 3, p: 1, r: 6, g: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be 45974\/14 + -10*(-11)\/770. Calculate the highest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*x - 22*x = 0. Suppose x = r + r - 288. Let v be 2\/4 + 105\/6. What is the greatest common divisor of r and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -57*x + 400 = -73*x - 84*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -3*z - 20109, -28*q + 30*q = z + 20111. What are the prime factors of q?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mv when two letters picked without replacement from fffvvmv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 + 2*p**2 + p + 2. Let g = -20 - -18. Let t be i(g). Suppose t = -3*r + r + 6. Solve 2*u + 2 = -k, -u - 3*k + 7 = r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 4 = 4*b. Suppose -b*g + 20 + 32 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -2*a**3 - 3*a**2 - 2*a. Determine c(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 12*q - 81. Let z be s(7). Let 2\/11*x**4 + 2\/11 + 12\/11*x**2 - 8\/11*x - 8\/11*x**z = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -41043214 (base 5) in base 2?\nAnswer: -1010000110100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together -859 and 13.6.\nAnswer: -845.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -9*n - 3. Let j(c) = 5*c + 107. Let v be j(-22). Let d(l) = -16*l - 5. Let k(u) = v*d(u) + 5*t(u). Let w(s) = 9*s. Determine k(w(f)).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(56) + sqrt(56) + (sqrt(336)\/sqrt(6) - sqrt(56))))\/(sqrt(84)\/(2*sqrt(300))) + 5.\nAnswer: 5 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -2*c. Let d(b) = 8*b**2 + 2*b - 2. Calculate q(d(s)).\nAnswer: -16*s**2 - 4*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(-9)*(5 + -2). Suppose -2*v - a + 7 = 0. What is the second derivative of -7*x - 7*x**v + 4*x + 33*x + 38*x**3 wrt x?\nAnswer: 186*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 10*n + 3. Let z(g) = -4*g - 3. Calculate 4*v(m) + 3*z(m).\nAnswer: 28*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3920 and 34790?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*z**2 - 10*z**2 - 101*z**3 + 167*z**3.\nAnswer: 66*z**3 - 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 3*n = 16, -88*l + 2*l - 18*n - 12*n + 34*n = -688 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the first derivative of 2*r**5\/45 + r**4\/6 + 4*r**3\/27 + 7. Determine m so that i(m) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 - -11. Let k be (-47 + -3)*-2*(-1)\/(-4). Let w be (24 - k)\/(1 - 0\/2). Which is the nearest to w? (a) z (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20 - s - 3*s + 5*s.\nAnswer: s + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand ((p - 1 + 1)*(0*p**2 + 2*p**2 - p**2) + 0*p**2 + p**3 + 0*p**2 + 0*p**3 - p**3 + 4*p**3)*(-9 - 11 + 2*p - 3).\nAnswer: 10*p**4 - 115*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 68.6 - 68.65. Let l = s - -0.04724. Round l to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -312 (base 10) to base 13\nAnswer: -1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1076 not equal to 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 + 10*s**5 - 4 + (-s - 4*s + 4*s)*(4 + 7*s - 4)*(-s**2 - 2*s**2 + s**2)*(168 + 29*s - 168).\nAnswer: 416*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 253*n - 32*n + 11*n.\nAnswer: 232*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times -0.026?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 486 - 486.000000484. Round f to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17.779992 + -17.8. Let h = t - -0.02. What is h rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 8, n: 1, p: 4, m: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**2 - 20*o - 72. Determine v(12).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -6*i**2. Let s(n) = 64*n**2 - 12*n. Determine s(c(f)).\nAnswer: 2304*f**4 + 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3975.3 + 3975.2999962961. What is o rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 221*i + 4*j = 216*i + 18, i - 12 = -5*j. Suppose 0 = 3*o - 3 - 3. Let c(s) = 1 - 1 + 2*s - s**o + 1. Determine c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 17\/3, 1\/3, 4282.\nAnswer: 1\/3, 2, 17\/3, 4282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(133) + sqrt(133)*1)\/sqrt(7) - sqrt(38)\/sqrt(32))**2.\nAnswer: 931\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -4*x**2 - 4*x - 1. Let g(c) = -c**2 - c - 1. Let f(j) = -3*g(j) + k(j). Suppose 0 = 42*p - 49*p. Give f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.05 (b) 4928 (c) 1160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, -12, -29, -64, -123?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 325929687 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, -5, 1\/8, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 230406 (base 8) to base 16.\nAnswer: 13106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -78 - ((15 - 71) + -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9)\/36*(-18 + -2). Let x = 2 - -2. Let w(r) = 3*r**2 - 4*r - 2. Let d(f) = -4*f**2 + 5*f + 2 + 16 - 16. Calculate l*w(z) + x*d(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is ((-1243)\/(-44))\/(1\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29977783.75 minus -299.04?\nAnswer: 29978082.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 88 = 4*i + 12, 2*c - 2*i - 38 = 0. Let n(d) = -3*d - 3*d**2 - 3*d**2 + 3 - 3*d**2 + 10*d**2. What is the remainder when c is divided by n(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(-1)*(1 - 5). Put 3, s, -3 in descending order.\nAnswer: s, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -24.04 - 1.8808.\nAnswer: -25.9208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(3\/2)\/m**(-16)*(m*m**3)**46 assuming m is positive.\nAnswer: m**(403\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 3*k**3 + 2*k**2 + 2*k. Suppose 2*l = -1 - 3. Let t(d) be the first derivative of d**4\/4 + d**3\/3 + d**2\/2 + 7012. Determine l*t(y) + u(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -184*q**2. Let s(u) = 2*u - 49. What is s(f(g))?\nAnswer: -368*g**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/89? (a) 0 (b) -1 (c) 0.1 (d) -0.09 (e) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the first derivative of -173*z**2 + 569*z + 685. Differentiate v(r) with respect to r.\nAnswer: -346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -c + 0?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**3 + j**2 + 8*j - 2. Let n be p(3). Let v = 9 + -9. Suppose v*y - 5*y = -15. Are n and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the first derivative of -3*l**2\/2 + l + 1. What is the units digit of k(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -14? (a) 8 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 122 + 126 + 3*x**2 + 67*x**2 - 98 + 5*x**3 + 215*x.\nAnswer: 5*(x + 1)*(x + 3)*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-16)\/(-6) + (-2)\/(-6). Suppose 4*x + v*p = 8, 4*x = p - 9 + 1. Is 12 a factor of 30*(x - 15\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/7, -44.3, 0.05, -5, 0.4 in descending order.\nAnswer: 4\/7, 0.4, 0.05, -5, -44.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(17) - (sqrt(17) + -1 + sqrt(17))*-2)**2.\nAnswer: -429 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1142 and 4.\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 5*g - 105, 32*b - 34*b + 24 = g. Let m(i) = -g*i - 22*i + 38*i. Let j(k) = -24*k. What is m(j(l))?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 2*r**2 + r - 1. Let t be k(-2). Let g(d) = 4*d**2 + 3*d - 32. Let q be g(5). Let n(c) = -c**2 + q + 2*c - 164 + 82. Calculate n(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 145 = 2*y + 3*y + 4*v, -y - 3*v = -40. Suppose -2*q + 2*a = 12, 4*q + 5*a = -2 - 13. Is (y - q - 4)*14\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 + 28. Suppose 0 = h - 6*h + 4*o + 45, 0 = 2*o + k. Let 13*g**h - 5*g**5 + 4*g**2 + 12*g**4 - 10*g**2 + g**5 - 3*g**3 = 0. What is g?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/11*m**5 + 0 + 0*m**2 + 6\/11*m**4 + 4\/11*m**3 + 0*m.\nAnswer: 2*m**3*(m + 1)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -5*y + 204. Suppose -4*a - 56 = -5*z, 3*z + 0*a - 2*a = 34. Calculate the remainder when y*(-3)\/15*-5 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4 from -2903563711.\nAnswer: -2903563715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 382\/2915 - 11\/106. Let j = t - 5\/22. Let f be 45\/(-54) - 1\/6. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 68151786 and 5362?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 561 = -4*u, -5*u - 731 = -10*s + 8*s. Which is greater: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7573, -9712, -11853, -13996?\nAnswer: -16141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33 - (-39 - (123 + -161)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 501 and 4?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -88 by -88.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -m**4 + 74960*m**3 + 11*m**2 - 64*m wrt m?\nAnswer: -24*m + 449760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1537.21711 rounded to one dp?\nAnswer: 1537.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 59202 and 153504.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-34)\/51)\/(32083\/224679 + 11\/(-77))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 65\/20 + 6\/8. Let d = 0 + x. Let l be (6\/d)\/(1\/2). Is 3 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2117258203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -2*z. Let o be (-12)\/9*222\/4. Let c = o - -74. Let w(i) = -3*i - 5 + 0 + c*i + 3. What is u(w(k))?\nAnswer: 6*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 693449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10987\/64 or -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 2702 - 6*h**2 - 13*h**2 - 2677 in the form q*h + k*h**2 + j and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**2 - v + 3. Let k be m(-3). Let h(y) = -13 - 119*y + 69*y - 1 + 1. What are the prime factors of h(k)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -14\/199 or -1?\nAnswer: -14\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 266266873\/1698 + -156812. What is the common denominator of f and -1\/36?\nAnswer: 10188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.1, 1.2, 0, -2\/7?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 + 4*c**2 + 1. Let o be y(4). Let t = -5 - -8. Let g(i) = -3*i**3 - t*i**3 + i**2 - 2*i**2. What is g(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2527 - 2526.3227. Let q = -0.68 + h. Round q to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 2*r**2 + 23*r + 33. Let u be d(-9). Let y(g) = g**3 + 13*g**2 - 3*g + 3. List the prime factors of y(u).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 502865 and 36795?\nAnswer: 1508595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w**2\/7 + 1644*w\/7 + 1640\/7 = 0. What is w?\nAnswer: -410, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 9994 * -55\nAnswer: -549670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12 - (6 - -2)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 3, 5, 1\/3, 3\/718, 4.5, -2 in increasing order.\nAnswer: -4, -2, 3\/718, 1\/3, 3, 4.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*c = -4*c + 2*r + 1624, -r - 2 = 0. What are the prime factors of c\/(-2)*(-36)\/(-90)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1741020*n**3 - 18700046 wrt n?\nAnswer: 5223060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 40 - -9366a7?\nAnswer: 936737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggggggggygy. What is prob of sequence gg?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -359 + 557. Suppose 0 = 2*r - r - 4*a - 56, 0 = -3*r + 2*a + 208. Suppose -3*h + r = h. What is the highest common factor of d and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 60 (b) 8573.8 (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (64 - 54) + (4 - (6 + -23)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes after 8:47 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 500710 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 5316 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 33.27 - 33.77. Let a = 0.36 + -0.3. Let j = 0.04 + a. Put 4, -13, h, j in descending order.\nAnswer: 4, j, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 363981*t**2 - t + 620464 wrt t?\nAnswer: 727962*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1*5202 - -6) + 1*(12 + -7). Calculate the highest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 414, 643, 872, 1101, 1330, 1559?\n\"Answer: 229*l + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 181 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*c**2 - 28*c**2 + 10*c**2 + 8*c**2 + 24*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20268022 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3674830 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3314*t**3 + 3298*t**3 - 6617*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 548 divide 67113625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the second derivative of 0 + 301\/60*z**6 + z + 43\/5*z**5 + 11\/3*z**3 + z**2 + 7\/6*z**7 + 181\/24*z**4. Find k such that y(k) = 0.\nAnswer: -1, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10172000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 4}. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 AM and 10:23 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45 and 8928.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 2*g**2 - 2*g + 4. Let t be w(4). Let a = 227\/117 + -31\/13. What is the second biggest value in 3, a, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the third derivative of n**6\/360 + n**5\/120 + n**4\/24 - n**3\/6 + n**2. Let m(q) be the first derivative of i(q). What is the units digit of m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3611673 - -4?\nAnswer: -3611667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -3*i - 84, 4*i + 8 = g - 14. Suppose 4*t - g = 2*t. Let p = 23 - t. What is the greatest common divisor of p and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2251\/294 - 1\/98. Let v = i - -49\/6. Solve -v*t - 1\/2 + 1\/2*t**2 + 1\/2*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:10 PM and 10:43 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes before 10:32 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 40343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4761, -9193, -13625?\nAnswer: -18057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 189\/(-18)*8\/(-6). Suppose -u*i + 17 = -39. Solve 4*q + 0 = -i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 36*d - 100*d + 11264. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the second derivative of d**3\/3 - 2*d**2 + 16*d. What is x(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1598 - 1505. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that i**5 + 562*i**4 + 99339*i**3 + 5517302*i**2 - 17255740*i + 11638536 = 0.\nAnswer: -273, -146, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 154.35 + -1.35. Let p = 109 - q. Let m = p - -44.4. Which is the third smallest value? (a) m (b) 1\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.9 + -16.9. Let g = -11 - m. Let d = g - 3.4. What is d rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 914*j - 5170*j - 4918*j.\nAnswer: -9174*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*a - 0*a + 2*r - 2, 19 = a - 3*r. Suppose -p + 5 = 0, -14 = -a*f - p + 3. Solve 4*q - b - 20 = 0, -q + f = 2*b - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45 - 275*v**2 - 37 - 46.\nAnswer: -275*v**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12 + -10. Suppose 2*x = w*d + 42, -2*x - x = 4*d - 63. Let u be (-348)\/(-7) + 6\/x. Round u to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 765975955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.72 or 0?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5144*t**4 - 21*t**3 - 5743*t**2 - 5*t wrt t.\nAnswer: 123456*t - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1483696.\nAnswer: 2, 47, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19536, 39070, 58604?\nAnswer: 78138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the third derivative of -1\/12*d**4 + 19\/5*d**5 - 259\/6*d**3 + 0 + 0*d + 87*d**2. Find the second derivative of v(y) wrt y.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -524151, -2096538, -4717189, -8386110, -13103307, -18868786, -25682553?\n\"Answer: -g**3 - 524126*g**2 - 2*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33864*u**2 + 72175*u**2 + 45078*u**2.\nAnswer: 83389*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3 + (-35)\/(-10))*14. Suppose -17*y + 1830 = -w*y. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 6}. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 14 + -13 + 0 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 2)*(-2*w**2 + w**2 - 2*w**2) + (w - w - w)*(240 - 240 + 200*w).\nAnswer: -206*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 136225274.\nAnswer: 2, 23, 769, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 514 + 2*z**2 + 76*z + 311*z + 95 - 12*z - 114 wrt z?\nAnswer: 4*z + 375","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*c + 6*c + c**2 + 2*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2\/285 - 33\/190. Let f = -6075 - -6076. What is the nearest to -1\/3 in f, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 28586 - 28585. Calculate the greatest common factor of 807 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l**5\/3 - 22*l**4\/3 + 136*l**3\/3 - 46*l**2 - 99*l = 0 for l.\nAnswer: -1, 0, 3, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 3281351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1413 and 440699?\nAnswer: 3966291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -1\/18, -3\/8 in descending order.\nAnswer: -1\/18, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -3*f. Let w = -0.4 + 0.3. Which is the nearest to w? (a) 2 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - (3 - 7)) + (-2 - -22) + 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 10899711 times 0.078\nAnswer: 850177.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l**3\/5 + 966*l**2\/5 - 1924*l\/5 = 0.\nAnswer: 0, 2, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 3*k + 26600003, 3*c - 2*k - 26600002 = 2*c. What is c rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 4 = 3*x. What is v in v + x*v**2 + 3 + v**2 - 1 - 5*v**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g**2 + 876*g + 6752 = 0. What is g?\nAnswer: -211, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 188, 2\/11, -4\/7.\nAnswer: -4\/7, 2\/11, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-26)\/d**(-19) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1556622, -0.3.\nAnswer: -1556622, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -5 + m**2 - 4*m**3 + 5*m**3 + m - 1. Suppose 0 = -d + 1, -d = -4*y - 3*d + 2. What is g(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3.8 and -7.23236450894?\nAnswer: 11.03236450894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xasz when four letters picked without replacement from {s: 4, z: 3, x: 5, a: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Subtract -9.4373424186 from -0.15.\nAnswer: 9.2873424186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 111711667 is divided by 11171166?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.5 - -2. Let g = -1.64626 + 1.54626. Let p be 22\/(-6) - 3\/9. What is the biggest value in j, -5, p, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3063, -2677, -2033, -1137, 5, 1387, 3003?\nAnswer: 4847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2\/21, 106992 in ascending order.\nAnswer: -4, 2\/21, 106992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 142 + -99. What is the remainder when o is divided by (-1 - (-28)\/2) + ((-193050)\/110)\/(-135)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(20)\/(sqrt(16)\/sqrt(4)) - sqrt(5)) + -4 + sqrt(20)\/sqrt(4) + sqrt(5))**2.\nAnswer: -28*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 69481?\nAnswer: 69481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.9913076 nanometers?\nAnswer: 0.0000000000009913076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 4\/5 and 32 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence foro when four letters picked without replacement from {m: 4, r: 1, k: 1, o: 4, e: 7, f: 3}.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**3 + 9*x**2 + 9*x + 11. Let r be b(-8). Suppose 0 = -r*w + 8 - 2. Solve 4*p = -3*q + w, 4*q + 16 - 4 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 9 + -3 - -2 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - -8 - (-2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1483 - 0.141. What is q rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 381449323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 3*q + 8 = 0. Let h(l) = -l**2 + 3*l - 3. Let j be h(q). Let w be ((-8)\/(-6))\/((-16)\/(-12)). What is the closest to w in 4, j, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 117*r**2 + 12 + 12 - 24 - 127*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13*b**5 - 21*b + 43*b - 10*b wrt b.\nAnswer: -260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.03 + -4.97. Let o(n) = -n**2 + 7*n - 4. Let m be o(6). Let y(h) = h - 1. Let z be y(1). What is the closest to z in c, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 2*k - 3 = -2*d + 19, -d + 185 = 20*k - 2*d + 64 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 20 = 0, 4*i - 6 = 5*c - 15. Suppose -c*q = -2*b - 23025, 5*q + 5*b - 18241 = 4749. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*-10*((-32)\/(-8))\/((-70)\/2)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0653091817 rounded to five decimal places?\nAnswer: 0.06531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x + n - 10*n = -4*n - 26, x + 5*n - 8 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 391*k**2 - 2*k. Let v(m) = -1831 + 960 + 2*m + 871. Give y(v(o)).\nAnswer: 1564*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14299909.\nAnswer: 13, 233, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2684, -2394, -1930, -1292, -480, 506, 1666?\nAnswer: 3000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the third derivative of 13*v**6\/40 - v**5\/30 + v**4\/24 + v**2. What is the remainder when f(1) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 159321.6651 - -5.\nAnswer: 159326.6651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 5*k - 27. What is q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 676*p**3\/3 - 20540*p**2\/3 - 12832*p\/3 - 1984\/3 = 0.\nAnswer: -4\/13, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 63827339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 48\/(-56)*224\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -24*f**3 - 2*f**2 - f. Let w(x) = 73*x**3 + 7*x**2 + 3*x. What is 7*d(t) + 2*w(t)?\nAnswer: -22*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 88 = 6*o - 4*i, 0 = 4*o - 5*i - 1288 + 1178 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is a (base 16) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 2*f + 9, 3*u - 2*f = -6*f - 5. Let v(h) = -h + 1. Let a(q) = -1 + 51*q + 106*q + 3 - 158*q. Calculate u*a(p) - 3*v(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 12336 + -62085?\nAnswer: -48648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 - 4)*(20\/(-15))\/(-1). Let i = o + 85. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the first derivative of u**6\/57 + 14*u**5\/95 + 9*u**4\/38 - 46*u**3\/57 - 50*u**2\/19 - 48*u\/19 - 500. Determine a, given that s(a) = 0.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**3 + 2*a**2 - 1. Suppose 5 = -n + 2*z, 2*n + n + 4*z - 15 = 0. Let g be j(n). Let f = 23 - 24. Is g bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(2\/7))**(-39))**(-42) assuming c is positive.\nAnswer: c**2106","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8 + 11 - 19*g - 4 to the form w + d*g and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 16814202 or 16814207?\nAnswer: 16814207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d + 7. Let z be m(8). Let p = -1050 - -4197\/4. Which is the nearest to z? (a) 2 (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 - 4. Let w = 29497 - 29492. Suppose -2*k = -p*r + 3 + w, -5*r = -2*k - 10. Solve 4*b - 4*t - 22 = r, -14 = -b + 5*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -7. Differentiate -3*h**4 + 6*h**2 - 2 + 0*h**k - 6*h**2 with respect to h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 AM and 5:53 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -2*a**3 + 5*a**2 - 5*a + 13. Is v(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1651*a**5 - 18 + 137*a**4 + 128*a**4 - 265*a**4 - 3*a + a wrt a.\nAnswer: 33020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/6 and -1\/3411.\nAnswer: 6822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2597 + 8502. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5310863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 175.4017 and 0.064?\nAnswer: 11.2257088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 + 8. Suppose 0 = -4*x + 11 + a. What is the smallest common multiple of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 4 = -x, -2*x = 3*y + 3*x + 10. Let c be (28 - y) + (-1 - -4). Suppose -3*l - l = -c. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -6147*v**2 + 40*v. Let x(a) = 2*a. Determine c(x(z)).\nAnswer: -24588*z**2 + 80*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**3 - 9*q**2 + 12*q + 11. Suppose -3*a + 6*a = -i + 6, -2*i = 0. Let b be 7\/a*80\/(-28). Determine h(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2893.429*0.5\nAnswer: 1446.7145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 203010 (base 4) to base 13.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 15 (base 13) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -1471*s + 6606 + 31579 = -343*s - 9191 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -20, -31, 4, -245 in increasing order.\nAnswer: -245, -31, -20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*t + 10550 = 92*t - 51*t + 162*t for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -117*z + 169*z - 94*z = 1008 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(784)\/sqrt(7) + sqrt(49)\/(sqrt(14)\/sqrt(2)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 36 and 105849432.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/(q**(1\/25)\/q)))**12*q**(2\/73)*q*q**(1\/67)*q)**37 assuming q is positive.\nAnswer: q**(-42878671\/122275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 37, 7, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - -3 - 1) + 12 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/20, 0, 768?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 - 27078*s**2 - 9 + 11 + 27074*s**2.\nAnswer: -4*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.2488443 - -0.0009607. Let c = -1.25 + w. What is c rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (405\/(-90))\/((9\/(-102))\/3). Suppose 8*s + 9*s = y. Solve -23 - 4 = -s*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 5353, 10776, 16493, 22504, 28809, 35408?\n\"Answer: 147*a**2 + 4982*a + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36\/99*(-594)\/(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from nniiiiiininniniiii.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 5:04 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:56 AM and 6:38 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1556234 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i + 300. Let q(l) = 4*l - 900. Determine 7*n(g) + 2*q(g).\nAnswer: g + 300","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*d - 622 = 3107. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 16*y**2 - 5. Let h(d) = 1. Let p(l) = 4*h(l) + m(l). Find the first derivative of p(s) wrt s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**3\/9 + 10744*j**2 + 96698*j\/9.\nAnswer: -2*j*(j - 48349)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (3*z - 3 + 3)*(137*z**2 - 270*z**2 + 107*z**2 - 3*z + 2) as v + r*z**3 + u*z**2 + d*z and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 15956\/38 - (-20)\/(-1140)*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20993739 divided by -87?\nAnswer: 6997913\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.0221 - -0.2221. What is the smallest value in m, -1\/9, 62, 6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**3 + 10*m**2 + 12*m - 10. Calculate p(-10).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1282 + -1287. Which is the biggest value? (a) 2\/19 (b) -0.2 (c) 3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j**4\/5 - 1626*j**3\/5 - 385262*j**2\/5 - 5502102*j + 29477720 = 0. What is j?\nAnswer: -460, -179, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6356 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:30 AM and 10:07 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**3 - 10*j**2 - 9*j - 10. Calculate the smallest common multiple of 2 and w(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 147 = -118. Calculate the remainder when r is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.8861 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8*g - 49*g - 1 + 3443*g**2 + 1065*g**2 - 324*g wrt g?\nAnswer: 9016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2083768 is divided by 411?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14644 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 218174464 a multiple of 5644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2626 - -937. Let z = -905 - k. What is the highest common factor of 98 and z?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-2*sqrt(153)*6 - (sqrt(153) - sqrt(153)*-1)*6))\/(sqrt(81)\/(sqrt(63)\/sqrt(7)) - sqrt(63)\/sqrt(7)*5).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -1 + 42*j**2 - 2*j**3 + j + 51*j**2 - 91*j**2 - j**4 + j**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 22 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 - 5. Calculate the common denominator of ((-1136)\/80)\/((-14)\/5) and ((-22)\/40)\/(x\/(-44)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12184 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -3\/4, 0.15, 0.5 in increasing order.\nAnswer: -3\/4, 0.15, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2653159143?\nAnswer: 3, 4129, 214189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 88677 and 1593?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tuk when three letters picked without replacement from trbtrurktrbmrttmr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1082\/3 - -360. What is the third biggest value in 4, 5, 0.02, j?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -o - 4*f, -1 = -4*o + 2*f - 35. Let k = o - -28. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 190 a factor of 11126590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:50 AM and 9:53 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 239 bigger than 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) -3 (c) -1808\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {h: 3, m: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**2 + 4*t - 9. Let k(x) = -x**3 + 20*x**2 + 19*x - 10. Let q be k(21). Let g = 56 + q. Suppose -3*j + j = -8, 2*y + 30 = g*j. Calculate c(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes after 6:27 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 8 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 8:36 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(1400) + sqrt(1400)*-1 + sqrt(1400))\/(sqrt(7) - (sqrt(7) + 3*sqrt(7)*-3 + sqrt(7))) + -1.\nAnswer: -1 + 15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -6520, -6521, -6522, -6523, -6524?\n\"Answer: -a - 6519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -c9 + 3cb?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -5*r - 435, 36*t + 4*r - 240 = 33*t. Let a(d) = 2*d**3 - 7*d**2 + 1. Calculate the remainder when t is divided by a(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.05 - 2.95. Let r = -4.73 - -0.23. Let z = r - -4. What is the second biggest value in m, z, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-14)*-2*(-6 + 192\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-36)\/(-45))\/((-16)\/(-40)). Let c = 1 - 1. Sort c, n, -1\/4 in decreasing order.\nAnswer: n, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 4*j + 559725, 8*d - 2*j = 9*d - 111959. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 8*b**2 - 5*b + 5. Let m(t) = 12*t**2 - 8*t + 8. Let o(j) = -8*f(j) + 5*m(j). Let k(w) be the second derivative of -49*w**3\/6 + 7*w + 9. Give k(o(c)).\nAnswer: 196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 9 - 6*w - 6.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 977697.2 litres to millilitres.\nAnswer: 977697200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(18)*1)**2 + -5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1632, 1551, 1416, 1227, 984, 687?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4879 + 3*m**2 + 146629*m - 146629*m.\nAnswer: 3*m**2 + 4879","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t - 9 - 20 + 9*t - 3. Let k be r(-10). Let b = -708\/5 - k. Does 1\/15 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 7, r: 7, p: 4}. What is prob of picking 4 p?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be (217\/(-28))\/((-4)\/(-3152)) - -2. Let w = 97595\/16 + a. Find the common denominator of -17\/24 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -92 - -97. Suppose -g*c = 4*c - 18. What is the derivative of -t**2 - t**2 - 30 - 2*t**c + t**2 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h + 9. Let g be c(-10). Let a be (g - 1) + 1 + 26. Let w(j) = -j. Let z be w(-3). Solve 0 = 5*l + 3*f - a, z = -l - 5*f + 30 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 85460234 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the third derivative of s**6\/360 + s**5\/40 - s**3\/3 - 3*s**2. Let m(p) be the first derivative of u(p). What is the units digit of m(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 2490*q - 161848. Determine w(65).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -42*f**2 + 2*f - 32. Let t(o) = -14*o**2 + o - 11. Let n(m) = -6*d(m) + 17*t(m). Suppose -4*b - 10 = b. Is 24 a factor of n(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 216177 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 840, 3321, 7502, 13419, 21108, 30605?\nAnswer: 41946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 4*r - 1. Suppose h + 5 = 6*h. Let s be i(h). Let k be 6\/(-4)*(-20)\/6. Solve -k*m - 18 = -s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lrtrrbblrrybrpp. What is prob of picking 2 p and 1 y?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -29\/30 + 9\/5. Let k = 37\/30 - g. What is the nearest to k in 3\/4, 2\/7, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1365\/126 - 11) + 15\/306. Let d = -10 + 0. What is the nearest to 2\/7 in d, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 296.246 millennia?\nAnswer: 296246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/(9 + -86)*-2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 149256 and 102?\nAnswer: 2537352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 8, s: 5}. Give prob of sequence sz.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 46*p - 4137 + 4321 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5.5 - -6. Let y = -1 + u. Let i = -9.8 - y. What is i rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**3 + 36*n**2 - 95*n - 2183. What is y(-37)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 18\/5 of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 AM and 6:13 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2290 a factor of 99211960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*s**2 + 10 - 100*s**2 - 10.\nAnswer: -156*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g = -d - 6*g - 8, 0 = -3*d + 2*g + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -2*c**2 + 61 - 472*c**3 - 2*c + 239*c**3 + 234*c**3 - 24 in the form y + o*c + b*c**3 + s*c**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h - h + h)*(3*h**3 + 3 - 3) - 84*h**2 + 84*h**2 - 2*h**4 + h**3.\nAnswer: 4*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - d - 8277 = 0, 422*d - 9 = 419*d. Does 92 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24130283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.406 rounded to two decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -39267 or -41896?\nAnswer: -41896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wfb. Give prob of sequence bf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*(l\/(l*l**(-1\/11)\/l*l))\/l*l)\/l**(-2\/5)*l*l\/(l*l**1*l)*l**(-2\/21))\/((l*l**(-2\/5)*l)\/(l*l**4*l)*(l**1)**(3\/2)) assuming l is positive.\nAnswer: l**(7613\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 7844538?\nAnswer: 1\/7844538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3581598 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let f be (10\/15)\/((-1)\/(-141)). Suppose -2*n = 5*i - 89, -3*n = -2*i - f - 68. Suppose l - 5*l = -n. What is the greatest common factor of 117 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from jxggzj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 6:31 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/5, -1\/3, 436 in increasing order.\nAnswer: -1\/3, 3\/5, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 - 0.3. Let k = -0.7 + f. Let h = -3.37 + 3.27. Which is the biggest value? (a) h (b) 3 (c) k (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 + 25*l**2 - 56*l - 55. Give f(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -12611, -12330, -11859, -11198, -10347, -9306, -8075?\n\"Answer: 95*m**2 - 4*m - 12702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 8*m**2 - 4*m - 13. Let j(t) = -3*t**2 + t + 4. Let x(u) = -4*i(u) - 11*j(u). Is 9 a factor of x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.332 + -0.032. Let g = o - 3.8. Which is the third smallest value? (a) g (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 60 = -a. Suppose 0 = c + 3*c - a. Suppose 2*t = -t. Solve 5*r - c*y = 20, t*y - 2*y = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -47 - -50. Let v(i) = 193*i**2 - 5*i + 13. Is v(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 7*m. Let w(k) = k - 35. Determine w(b(g)).\nAnswer: 7*g - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -251 + 253. Which is the third biggest value? (a) -7\/5 (b) 1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 587 = 16*r - 1493. What is the lowest common multiple of 104 and r?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 12*j**2 - 1793*j - 21738. Give l(-12).\nAnswer: 1506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4002534 is divided by 500315.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 6552*a**3 - 3337*a**3 - 3293*a**3 + (a + a**3 - a)*(2 - 2 + 2))*(-4*a**2 + 5*a**2 + 3*a**2).\nAnswer: -304*a**5 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96*c + 84*c - 268*c + 88*c - c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z\/(z*z\/z**(-3\/4))))**(-47)\/(z\/(z\/(z*z**(1\/5)*z*z)))**31 assuming z is positive.\nAnswer: z**(-4569\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -119 + 116. What is the smallest value in -0.4, -2, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5116, -5, 1, 15, 2, 3, 4.\nAnswer: -5116, -5, 1, 2, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 31747, 31732, 31703, 31654, 31579, 31472, 31327?\n\"Answer: -b**3 - b**2 - 5*b + 31754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -24\/372348145 or -1?\nAnswer: -24\/372348145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 3*f - 4. Suppose -f*p = 4 - 2. Let r be -2 - (p - 1) - -4. Solve r*h + 4 = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 864*q**4 + 50*q**3 + 68*q**2 - 93*q + 17.\nAnswer: 20736*q + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1681*m - 24 = -1680*m - 5*d, d = 3*m + 44 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*b + 5*b = -11*b - 5*i + 25, 4*b + 3*i - 15 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -24 + 18. Let v = 704.97 + -699. Let r = v + l. Round r to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 147049622.\nAnswer: 2, 73524811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the third derivative of a**4\/12 - a**3 - a**2. Let f(n) = -n**2 + 5*n + 4. Let g be f(5). What is the remainder when 3 is divided by q(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 227 divide 91935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19259*n + 19260*n - 38518*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 + -5bf86?\nAnswer: -5bf81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (0 - -27) + 25 + -62\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 7, q: 4}. Give prob of sequence wq.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 8*m - 1. Suppose -4*l = -4*s - 2*l + 22, -3*s + 6 = -5*l. Let v(i) = -4*i + 1. Let g(u) = s*v(u) + 4*p(u). What is g(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 60*l + 354. Determine v(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 502\/9 + 10\/45. Suppose 0 = -m + o + 33. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1697 = 173*q - q - 584 + 6799 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 836 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -1455 divided by 5?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 4*o = -8216, 2*b + 57*o - 4123 = 52*o. Calculate the remainder when b is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2010 divided by -402?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -209*s**2 - 503*s**2 - 213*s**2 - 303*s**2 + 853*s**2.\nAnswer: -375*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(13))*-2 + -5)*3.\nAnswer: -6*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3459, -3460, -3461?\n\"Answer: -f - 3458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 11, 14\/3, 0.9, 2\/9, -0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, -146697, 2, -62, -1 in increasing order.\nAnswer: -146697, -62, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 574 and 4?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (7 - (-22 + (59 - -15)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -111010001011 (base 2) to base 3.\nAnswer: -12002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -14*l + 215. Calculate f(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 226 is divided by 64.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -10.7 (b) 0.208 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 88 by -7.\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 235159*n + 437004 = 235177*n. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 211062688354019250*k**4 - 6754005098294179950*k**3 - 29729100590490*k**2 - 130858558*k\/3 - 64\/3.\nAnswer: 2*(k - 32)*(681555*k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -84967917 rounded to the nearest one hundred thousand?\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 11 = m. Suppose -m = -5*n + 2*j - 0*j, -5*n = 4*j - 20. Let l be 3 + 338 - (5 - n). What is l rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 115 = -23*t + 305 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 10 = 2. Suppose -10*r + 11*r - d = 0. Calculate the least common multiple of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 5) + -4 + 19 + -19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 146645 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/5*4)\/(328\/820)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 84, 13, -1, -5 in increasing order.\nAnswer: -5, -1, 13, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*b - 35*b - 35*b + 93*b + 1306*b**2.\nAnswer: 1306*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -73 - -66. Let n(f) = f**2 + 7*f - 1. Let v be n(y). Suppose -25 = -3*g - 5*d, 0 = -0*g - 4*g + 3*d + 14. Put v, -2, 23, g in increasing order.\nAnswer: -2, v, g, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 71, 71, 65, 47, 11, -49?\n\"Answer: -d**3 + 3*d**2 - 2*d + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 17*b**3 - 2*b. Let q(d) = -17*d**3 + 3*d. What is 2*q(j) + 3*y(j)?\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be (15\/9)\/((-1)\/3). Suppose 4*i - 5 = 3. Let o(f) = -i*f + 0 - f + 2 - f**3 - 6*f**2. Determine o(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2979 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (9 - (3 + (0 - 0))) + 52 + -70\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 17 divided by 16351126?\nAnswer: 17\/16351126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 323778 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that 2*f**4 + 88*f**3\/5 + 164*f**2\/5 - 88*f\/5 - 174\/5 = 0.\nAnswer: -29\/5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 38.314 take away 3116?\nAnswer: -3077.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (12 - 2) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the second derivative of -y**4\/12 - 11*y**3\/6 - y**2 - 17*y. Let i be c(-12). Is (i*1\/4)\/(3\/(-678)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 not equal to -1\/891193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 4*n**4 - 7*n**4 + 2*n**4 + (n**3 + 2 - 2)*(2*n + 0*n - 5*n) + 13*n**4 + 19*n**3 - 19*n**3 to q*n**4 + m + p*n**2 + d*n**3 + h*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2125902, 4251858, 6377828, 8503818, 10629834, 12755882?\n\"Answer: k**3 + k**2 + 2125946*k - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -8 + 5 + 6*j - 8 - 3*j. Let n(u) = 13*u - 45. Let y(s) = 2*n(s) - 9*w(s). Let h be y(7). Solve 4*z + p = -10 + 3, -h*z - 2*p = 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 - 3*u**2 - u + 1. Let p be d(-3). Suppose -2*a + 4 = -p. Let g(f) = 3 - 5 - a - f**2 + f**3 + 2*f**2. Calculate g(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 168872754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3349374294.\nAnswer: 2, 3, 7, 461, 172987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 2*x - 8 = -2*n, 0 = 5*n - 3*x - 52. Let c = -10 - -6. Let r = c + n. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1496*i**3 - 6010*i**3 + 1505*i**3 + 1508*i**3 + 1500*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 7073463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3151 a factor of 299133883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/16 of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 4*k - 128 = -3*h, -3*k = 9. Let p = 74 - h. Solve 26 = p*a - 5*c, -c - 3*c = -5*a + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-j**2 - 3 + 3)*(4*j**2 - j**2 - 2*j**2) - j**4 - 2*j**4 - j**4 to the form g + r*j + f*j**4 + v*j**3 + h*j**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3470*c = 3469*c + v - 11, 19 = -3*c - 4*v for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*h**4 + 564*h**2 + 681*h + 1 wrt h?\nAnswer: 24*h**2 + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**3 + 9*f**2 + 260*f - 161. Give d(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gojrjg. Give prob of picking 1 g and 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 61730391 by 6.\nAnswer: 20576797\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -59 + 65. Let k(c) = -c**3 + 5*c**2 + 5*c + 7. Give k(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/3, 2, -1.1, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 721974885?\nAnswer: 3, 5, 48131659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6 + (-15746)\/(-8) + 165\/(-132).\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 take away -1692317?\nAnswer: 1692316.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, -4, -2, 20, -50.8, 1 in decreasing order.\nAnswer: 20, 1, -2\/5, -2, -4, -50.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 39.0206 - -0.0794. Let n = 39 - i. Let q = -80 + 398\/5. Which is the second smallest value? (a) 0.3 (b) q (c) 2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208) + -5 - sqrt(13))*6.\nAnswer: -30 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1503 divided by 24\nAnswer: 501\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, -12, 0.1 in decreasing order.\nAnswer: 2\/7, 0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**3 - 4*l**2 - 5*l + 18. What is the units digit of d(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3247024541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/4 and 151\/10320?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9003, -9010, -9021, -9036, -9055, -9078, -9105?\nAnswer: -9136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1203.99591 - 1204. Round q to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5559390143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - 0 - (-244 - -258).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**3 - 5*h**2 + 6*h + 4. Let m be g(-6). Let j = -46 + m. Let b be (-5)\/(-35) - (-34)\/j. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 0.9430879 centuries?\nAnswer: 9.430879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -14*v*z**4 + 24962*v*z**3 + 2*v*z + 17058*v - 2*z**4 + z**3 + 5*z**2 - 4 wrt z?\nAnswer: -336*v*z + 149772*v - 48*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 580 at most as big as 584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1904\/56)\/(-34))\/((-2)\/(-38)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -3478*r - 514755. Determine i(-148).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3917373 is divided by 163?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 7*(-22)\/77*(44\/(-60))\/(-11)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 161150 + -5565?\nAnswer: 152252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**3 + 4*u**2 - 7*u - 5. Let m be x(-5). Solve 0 = 2*h + 5*g - 6, 0*g + m*g - 2 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.08+-2604432\nAnswer: -2604431.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15084012 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(-5)\/k)**35\/(k**15\/(k**17*k)) assuming k is positive.\nAnswer: k**(-172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 - -543121?\nAnswer: 543123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 156 + 4303 - 164*f - 137*f + 1205.\nAnswer: -301*f + 5664","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0 - (-6 + 3 + 6 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 20*j**2 - 9*j + 9. Let g(n) = 9*n**2 - 4*n + 4. Let f(m) = -9*g(m) + 4*v(m). Let q(i) = 11*i. Give q(f(c)).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o - n - 3 = 0, 0 = 1090*o - 1077*o - 4*n + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -27\/101 + -6631\/2020. Calculate the common denominator of f and -37\/24578.\nAnswer: 245780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence px when two letters picked without replacement from {g: 2, x: 3, p: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 129 divided by 178955.\nAnswer: 129\/178955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nrqg when four letters picked without replacement from yqnygnr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 5*v - 2*v - 5, 2*n = 5*v - 1. Let r(l) = -10*l - 5. Let g(z) be the first derivative of -z + 89. Let t(o) = 6*g(o) - r(o). Calculate t(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 27.231 - 27.1. Let g = i + -8.031. Let n = 7.900169 + g. What is n rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -165*v + 207*v - 420 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*l**2 - l**2 + 0*l**2)*(l**3 - 696*l + 49 + 696*l) + 4*l**5 - 3*l**4 + 3*l**4 + 1 - l**5 - 1 + (-l**4 - 2*l**4 + l**4)*(-l + 0*l + 2*l).\nAnswer: 3*l**5 + 98*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -3*d**3 - 25*d**2 - 29*d. What is the lowest common multiple of y(-8) and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.9 - -0.1. Let c = q - 3.9. Is c != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -63 = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from pwnwjjppwwp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 107833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) 0 (c) 8 (d) 736 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 23*v - 9. Let q be s(2). Let g be (74\/(-3))\/((-124)\/24 + 5). Calculate the greatest common factor of q and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 13) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 23 + -11. Suppose -4*b = -b - f. Suppose 0 = -m + 2*u + 3*u + 29, -150 = -b*m + 3*u. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (601\/(-3))\/((-84)\/18 - -5). Calculate the common denominator of (-48)\/264 - (z\/(-22) + -2) and (-148)\/14*(-1)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-206)\/515 - (-7)\/5) + -15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2366257\/177 - 13369. Is -1 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 698649 and 698649.\nAnswer: 698649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 0*q = q + 4, 3*m - 5*q - 6 = 0. Let a = m - 4. Let j = -1 - -3. Solve -a = j*i - 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j - 5. Let a be b(-9). Factor -5*i - 11*i - 4*i**2 - a*i**3 + 24*i.\nAnswer: -4*i*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 1 - 1)*(3*v + 2*v - 2*v).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (1 + sqrt(68) - sqrt(68))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 19*r**3 + 15*r**2 + 45*r + 5. Let q(n) = 8*n**3 + 8*n**2 + 23*n + 3. Let v(w) = -3*i(w) + 7*q(w). Let b be v(13). Solve -h + b = 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9419319601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 82578645 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/(-35))\/((-12)\/(-60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ohookokkkkkkk. What is prob of picking 1 h and 1 o?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1597*h - 1604*h + 28 = 0. Let n(p) = p**2 + 12*p - 1. Let d(z) = 3*z. Let x(y) = 9*d(y) - 2*n(y). Give x(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000273082 rounded to seven decimal places?\nAnswer: -0.0000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + v - 5, 0*c + 4*c - 3*v - 34 = 0. Let h = c + -7. Suppose h = 3*k - 373 + 94. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1201869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -15*p**2 + 7235*p + 14025. Let x(i) = -7*i**2 + 3593*i + 7012. Let w(o) = 2*b(o) - 5*x(o). Solve w(u) = 0.\nAnswer: -2, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*r**2 - 4*r**2 - 24*r**2)*(-3597 + 3597 + 271*r).\nAnswer: -5420*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 24*p**4 + 42*p**3 + 101*p**2 + 34*p**4 - 60*p**4 wrt p.\nAnswer: -48*p + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2920038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -7. Let f = g + 1. Let 0 + a + 1\/2*a**f = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -127584 divided by 12\nAnswer: -10632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*l - 41*l - 335 = 0. Let q = l + -67. Solve q = 4*g - 0*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g + 44 - 26. Let d be 5 - 7 - (g\/3 - 9). Let r be (d\/(-2))\/(40\/(-16)). Solve 2 = r*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lflfelefeeeeelefe. Give prob of picking 3 l and 1 f.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5.14 - -0.14. Suppose 0*x - 2*x = -40. Let p be -6*(3 - x\/6). Which is the closest to 1? (a) 1\/5 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23.45843 rounded to one dp?\nAnswer: 23.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 + -1.4. Let z be 7\/(-3)*522\/203. Which is the nearest to 2? (a) -0.2 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -49 + 76. Suppose -2*t = t - c. Let u(o) = 3*o**2 - 3*o + 3. Let h be u(2). Does t = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 218*d**4 - 103*d**4 + d - 112*d**4 - d**2 in the form o*d**3 + a + v*d + r*d**4 + y*d**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -39 - 40 + 2*z**3 + 4*z**3 + 19 in the form m + i*z**3 + v*z**2 + o*z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 + 162*g**2 + 334*g - 999. Determine q(164).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 9) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -126 - -128. Calculate the remainder when ((-484)\/(12\/(-6)))\/z is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 6 (b) -2\/9 (c) -3\/28 (d) 155 (e) 0.1 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g and 1 c when three letters picked without replacement from mmmmcmcmmccccgcgcc.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -842*a**2*g*j**3 - 3601*a**2*g*n**2 - a*g*j**3*n - 3*a*g*j - 143*a*j**3*n**2 + g + 22*j**3*n**2 - 9*j**3*n wrt a.\nAnswer: -1684*g*j**3 - 7202*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 - 124 = -19*u. Let g be 1 - 0 - (-18 + 1). Suppose b - 3*b + 2*q + g = 0, -u = -4*b - 5*q. Which is greater: 7 or b?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1772*b + 690*b + 573*b + 16074 = -680*b for b.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 5da (base 14) to base 5.\nAnswer: 14142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.981853 millennia in years?\nAnswer: 981.853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) 332 (c) -1 (d) 1127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r - 4*y + 13 - 43 = -0*r, -3*r - 82 = -31*y for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 812020 is divided by 373.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 364 divide 229855808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1807 - -19851\/11. What is the common denominator of -30\/7 and f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/(-4) - (-15)\/(-2). Let x = 11 + j. Solve u = -4*m + 7, -2*u = x*m + 3*u - 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*q - 4 = i - 44*q, i - 5*q + 5 = 0. Is i != 2\/6579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - ((-3 - 12) + 8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3.1587 + -0.1587. What is the third biggest value in -1\/8, -0.3, 1\/5, d?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1001 is divided by 147.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -f**3 + 18981*f**2 - 90022119*f - 450585245 = 0.\nAnswer: -5, 9493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -128446473*n**4 + 95*n + 169201 wrt n.\nAnswer: -1541357676*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4\/3)\/(2\/24). Suppose 0 = -0*w - 3*w - 4*s + p, -s = 3*w - 13. Suppose 18 = -w*z + 2. Sort 2, z, -2 in descending order.\nAnswer: 2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6 - ((-5411)\/539 - -4)) + (-15)\/(-105). What is the nearest to 444 in -0.1, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-44)\/176 - (-13)\/4. Suppose -5*g = 4*h - 25, 3*h = -0*g + 3*g - 15. Solve h*j = -3*j + i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*a - 910 + 933 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -5*i - 4. Let o be m(-1). Let v be (30\/7)\/(o\/42). Suppose -v = 26*g - 32*g. What is the remainder when 86 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 297 - 255 = -5*q - 4*p, 4*p + 36 = -4*q. Let c(u) = 9*u + 60. What is c(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -292 - -291.9. Which is the biggest value? (a) 1 (b) q (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-6))\/((485\/(-1746))\/((-2)\/8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from lllffffluffuffl?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 660 and 5630580?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 702843?\nAnswer: 3, 234281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -14132.6 to the nearest one hundred.\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -154309, -308625, -462947, -617275, -771609, -925949, -1080295?\nAnswer: -1234647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**4*f**(-7\/4))**(1\/10)\/((f**(-1))**44)**(-2\/35) assuming f is positive.\nAnswer: f**(-641\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 37 + (-67 - -18) + 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**3 - 23*o**2 + 86*o + 107. Give g(9).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - 2*r - 828 + 245, 2*t + 390 = -r. Let u = -140 - t. Let v = 12 - -4. Calculate the remainder when u is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 19*b**2 + 7*b + 27. Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -492\/1077601 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22504 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -244644*d**3 + 3 + 2*d + 242326*d**3 - 5 as m + i*d**2 + v*d**3 + s*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1, 0, 1184, 5 in descending order.\nAnswer: 1184, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4.08 + -0.08. Which is the second smallest value? (a) -1 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1568 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that a**4 - 37*a**3 - 81*a**2 + 117*a = 0.\nAnswer: -3, 0, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, -3, -26, 6 in decreasing order.\nAnswer: 6, -0.4, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3176975593?\nAnswer: 11, 179, 1613497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 17*y**2 + 13*y + 13. Let v(z) = 8*z**2 + 6*z + 6. Let i(s) = 6*u(s) - 13*v(s). Let k(n) = -16*n. What is i(k(o))?\nAnswer: -512*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-6)\/(-4) + 31\/806*-13)\/3. Factor -p*x**4 - 2\/3 + 1\/3*x - 1\/3*x**3 + x**2.\nAnswer: -(x - 1)**2*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21 + 19 + 2*o + 21)*(13 - 13 + 10*o)*(-30 + 41 + 60).\nAnswer: 1420*o**2 + 13490*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5360, -5382, -5404, -5426, -5448, -5470?\nAnswer: -5492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 8, -3, -692, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -11 (b) 3\/4 (c) 161 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -342113313 - 0?\nAnswer: -342113313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 3*n = -0*d + 114, 76 = 2*d + 3*n. Let g = -23 + d. Let l = -11 + g. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 607503882.\nAnswer: 2, 3, 101250647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -15*h**3 - 9*h**2 + 5*h - 112. What are the prime factors of l(-8)?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16408 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-17)\/34*(-8)\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*s + 4*s + 5*l - 28, -4*l = 3*s - 22. Suppose -3*c + 45 = s*c. Solve -c + 4 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -127150 * 0.2\nAnswer: -25430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(242) + sqrt(2)*-2*5)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a + 0*a - 2*a + 6*a. Let b(n) = 6*n**2. Give b(s(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/10 + 158\/45. Which is greater: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**2 - 16*w - 38. Let n be i(-13). What is the nearest to 1\/3 in -2\/15, n, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of 11*i**4\/12 - 8*i**3\/3 - 15*i**2 + 37*i + 1. Calculate z(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/1550 and -17\/4650?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -4*l + 2. Let m(y) = 1 - 1 + y + 2 - 2*y**2 - y**3. Calculate m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 61040 by -7.\nAnswer: -8720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 245 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**2 + 220*x - 5657. What is s(23)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000985393 to six decimal places.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 42 - 12. Let v(u) = u**2 + 7*u - 8. Let w(h) = -1. Let f(t) = -v(t) + 2*w(t). Let x be f(-7). What is the greatest common factor of l and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 52 + -22. Let o = -16 + d. Let f = -111 - -152. Calculate the remainder when f is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 262*k - 533*k + 294*k + 3*k**2 + (-3*k + 7*k - 2*k)*(-k + 4*k - k) - 2*k**2 + k**2 + 0*k**2 to h*k + n*k**2 + f and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 98668840 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10988.\nAnswer: 2, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5 and 640.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o**(2\/15)\/o)\/o)\/o**(-24))\/(o*o**(-1))**(-20) assuming o is positive.\nAnswer: o**(332\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -153*c**3 - 52*c**2 + 10 + 43*c + 162*c**3 - 10*c.\nAnswer: (c - 5)*(c - 1)*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 38*q**4 - 18*q**3 - 312*q**2 + 9. Let x(c) = -19*c**4 + 8*c**3 + 156*c**2 - 4. Let l(s) = 4*o(s) + 9*x(s). Find the third derivative of l(y) wrt y.\nAnswer: -456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 25 + -14. What is the remainder when 65 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(500)*-4)\/(-5*sqrt(4)*-1 - 6*sqrt(4)*-2))**2.\nAnswer: 2000\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(432) + -1 + sqrt(432)) + 0 + 6*4*1*sqrt(432))**2.\nAnswer: 1728*sqrt(3) + 62244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 5*m - 20, m - 4 = -4*q - 5. Calculate the remainder when (2 - 90\/q) + 3 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3929.\nAnswer: 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from {q: 11, g: 9}?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 4*v. Let j(b) = 4*b + 5*b - 5*b - 3. Let w(a) = -5*a + 4. Let m(g) = 4*j(g) + 3*w(g). What is m(t(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 218 = 9*h - 10*h. Let i = -879\/4 - h. Is -3 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170*h + 162*h = -864. Is h a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**2. Suppose -4*a + 4 = -4. Let d(g) = 4*g**a + 3*g - 3*g. What is o(d(n))?\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1062807687?\nAnswer: 3, 6211, 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 a, and 1 f when three letters picked without replacement from kavgackf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -39*c. Let o(v) = 3*v. Let s be (-2565)\/114*(-6)\/(-5). Suppose -3*d - 10 = 2*d. Calculate d*y(p) + s*o(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 - 13 - -6 - (1 - 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/20 and -25\/107662114.\nAnswer: 1076621140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of 3*c**4\/4 - c**3 - 7. What is the third derivative of m(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -3*w - 2*p, 0 = w - 3*p - 20 - 7. Let v = -10 + w. What is the remainder when 4 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r + r**2 - 55800 - r + 55754.\nAnswer: r**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7\/64 - 2827\/192. What is the common denominator of o and 7\/1058?\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 3*d + 3*u = -5, -5*u + 20 = 0. Calculate the remainder when (-1 + -95)*2\/(-4) is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -22691*k**2 - 314*k + 20?\nAnswer: -45382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 292 divided by -25\nAnswer: -292\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t + 867 = -3015. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125574?\nAnswer: 2, 3, 20929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 857971\/1937670 - -2\/27681. Find the common denominator of q and -8\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**2 - 13*q - 11. What are the prime factors of a(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -233726363*h**3 - 611970*h + 36.\nAnswer: -1402358178*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/523 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -698 divided by -698?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 290878922.\nAnswer: 2, 311, 467651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8488059 to the nearest integer?\nAnswer: 2913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be 18\/(0 + (14\/(-8) - -2)). Do 72 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -3*p. Let v(m) be the first derivative of 0*m - 3*m**2 + 0*m - 107 + 99. Give v(o(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 28? (a) -414 (b) 12 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (80 + -1) - (192 - 211)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 8*o + 2*y = 52, -64 = -4*o - 4*y. Suppose -3*u + 29 - o = 0. What is the greatest common divisor of 2 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (f + f - 268 + 265 + (-4*f + 44*f + 7*f)*(2 + 1 - 4))*(0 + 3 - 2).\nAnswer: -45*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 35902 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010001001 + -1001010000111110110?\nAnswer: -1001001101101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b. Let h = 12 - 10. Suppose 8 = 2*r + h. Let t(k) = -6*k - 2*k - r*k. Calculate q(t(o)).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 2*a + 5. Let u(w) = 2*w**2 + 6*w - 12. Let d be u(-7). Let o = 40 - d. What is t(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**2 + 8*f - 2. Let o be r(8). Let l = 28 - 15. Let j = o + l. Calculate the greatest common divisor of j and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of -y**3\/3 + 7*y**2\/2 - 7*y - 12. Let f be m(3). Let g(b) = -b**3 + 6*b**2 - 3*b - 6. Calculate g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 5*i**2. Let b(q) = -q**2 + 6*q - 4. Let w(a) = a**2 - 10*a + 7. Let r(t) = -7*b(t) - 4*w(t). Give m(r(j)).\nAnswer: 45*j**4 - 60*j**3 + 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*s**5 + 173*s**3 + 2115*s**2 wrt s.\nAnswer: -300*s**2 + 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 98 - 212. Let c be 2\/(-6) - 32\/l. Suppose -8*r - 3*h + 9 = -5*r, 0 = -3*h + 12. Which is bigger: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87754373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(2\/105)*h**3)**(-15))**(-2\/9) assuming h is positive.\nAnswer: h**(836\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t - 1. Let r be g(1). Let s be (-4)\/(-14) - (-108)\/14. Let q(j) = -3*j - j + 2*j**2 + 7*j + s*j**3 - 7*j**3. Calculate q(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 716*c + 5009. What is r(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/78 and -85\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*l + 2*l + 2*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/5*j**4 - 2*j**3 - 6\/5*j + 14\/5*j**2 + 0.\nAnswer: 2*j*(j - 3)*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(-2)*(83 - 1). Suppose 0 = -s + h + 15. Suppose 4*k + 4*n - 94 + 22 = 0, -41 = -2*k + 3*n. What is the remainder when s is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 648 divide 617194080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-32)\/(-24))\/((-2)\/(-60)). Suppose 3*a + 5*d = h, 4*d - 10 = 2*a - 0*d. Suppose -a*l - 2*y + 230 = -1689, 0 = 4*y - 8. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**2 - 7*k + 2. Let c = -174 + 214. Let p(r) = 2*r - 5. Let s be p(-4). Let b be 20\/c + s\/2. Calculate g(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.92368kg?\nAnswer: 923680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-91)\/(-13) + ((-1)\/(-1) - 1). Suppose y - 12*q = -n*q - 3, 0 = 4*q. Let b(k) = -k**3 - 3*k**2 + 2*k + 4. Give b(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 24541203 (base 6) to base 15.\nAnswer: 1094d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 5*q + 3. Let h(y) = y - 1. Let m(x) = 4*x - 4. Let s be 6\/(48\/70) + (-5)\/(-20). Let r(t) = s*h(t) - 2*m(t). What is f(v) - 4*r(v)?\nAnswer: v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 206*u - 211 with respect to u.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be -15 + (8 - (-10 + (4 - -3))). Put -564, a, -12 in ascending order.\nAnswer: -564, -12, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 44 = f. Suppose 3*x = 3*i, 5*i - 3 = 2*x + 2*i. Calculate the smallest common multiple of (-3)\/1 + 14 + x and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 7*t - 8. Suppose -t*g = -g - 10. Calculate the highest common divisor of g and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*d**2 + 0 - 182*d**3 - 2 - 183*d**3 + 363*d**3 + 21*d to the form y*d + a*d**2 + s + q*d**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -706*m*z**2 - 2*m*z + 11621703*m - 2384*z**3 + 10*z wrt z?\nAnswer: -1412*m - 14304*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-5)*f\/(f*f**(1\/4)*f*f)*f\/(f*f**(1\/43)*f)*f**(1\/9)\/f assuming f is positive.\nAnswer: f**(-14183\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 - 8 = 2*w. Let i = -51 + 96. What is the remainder when (0 - 8)*i\/(-18) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x**2 - 15850*x + 63320 = 0. Calculate x.\nAnswer: 4, 3166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 139\/119 - -19\/17. What is the common denominator of 9 - (-36)\/(-288)*(1 + 269) and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -145, 158, 2, -2\/21, -1\/3, -4 in increasing order.\nAnswer: -145, -4, -1\/3, -2\/21, 2, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 divided by 40976.\nAnswer: -7\/40976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -3*r - 4*u, 0*r - 16 = r - 5*u. Let c be (14\/5)\/(r\/15). Let d = -23 - c. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 831 divide 2847006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 + -1. Let i = h + -9. Let p = 3 + i. Is 0 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(19) - (sqrt(19) + sqrt(190)\/(sqrt(10) + sqrt(90)) + sqrt(19)) - sqrt(19)))**2.\nAnswer: 9*sqrt(19)\/2 + 1555\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2836 or -2834?\nAnswer: -2834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (3 - (0 + -1)) + (1284 - 1280) + (-31 - -1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**2 + 3*q**2 + q**2 + (0*q**2 - 6*q**2 + 4*q**2)*(-3 + 4 + 0) - 7*q**2 + 8*q - 8*q.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 14\/351 and -5\/2691.\nAnswer: 8073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the second derivative of -5*x**3\/6 - 3*x. Let q be (-10)\/(-75) - 1074\/45*-1. Let d(w) = -9*w - 9*w + q*w. What is c(d(a))?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*t + 3*t - 22*t + 7*t - 2529 + 2*t.\nAnswer: -2*t - 2529","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -1081.\nAnswer: 5\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -11 - -21. Calculate the remainder when -4 - 200\/(-52) - (-446)\/26 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -27672 by -2.\nAnswer: 13836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - s - 4, 2*l + 4*s - 11 = l. What is the second derivative of -39*f**3 + 20*f**4 - f + 39*f**l - 17*f wrt f?\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 3*y + 12 = 0, y + 1 + 1 = 0. Let l = 5 - 3. Suppose -2 = l*v - 3*v. Solve q - o - v = -3, -n*o - 3 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(5\/6))**12\/(g*((g\/g**(-1\/4)*g)\/g)\/g)**(1\/29) assuming g is positive.\nAnswer: g**(2547\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of -231 and 19.6.\nAnswer: -4527.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 52*c**3\/9 - 40*c**2 + 84*c - 48.\nAnswer: 4*(c - 3)**2*(13*c - 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -57 - -97. Suppose m = -3*m + 8. Find the first derivative of -2*n**2 + 40*n - l*n - m wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-1\/9)\/q**(-5))\/(q\/((q\/q**3*q)\/q)*q\/(q*q*q\/(q**2\/q))))\/((q**(2\/5))**(-40)\/(((q\/(q\/(q*q**(-7)*q)*q*q))\/q*q)\/q**(-3\/4))) assuming q is positive.\nAnswer: q**(455\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 7*i**2 - 13*i + 16. Let q(j) = -3*j**2 + 7*j - 8. Let u(t) = 2*a(t) + 5*q(t). Let z be u(8). What is the smallest value in 8, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.06 and -2814271?\nAnswer: -168856.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2553 a factor of 626477783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 3 times 12.959\nAnswer: 38.877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1584 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 + 0. Solve x + 3*x - 4 = -2*r, 0 = 4*x + h*r - 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the second derivative of -j**7\/105 + 419*j**6\/75 - 58797*j**5\/50 + 560309*j**4\/6 - 5371238*j**3\/15 + 5*j + 122. Factor z(k).\nAnswer: -2*k*(k - 139)**3*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + m = -54 + 17, 3*t + 4*m = 72. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0098 and 18678.\nAnswer: 183.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.57 - 0.21. Let m = -5.44 - s. Let l = m + 9.8. What is the second biggest value in 4\/7, l, 1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, v: 1, s: 1, d: 1, g: 1}. What is prob of picking 1 s and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/5 (b) 4 (c) 1\/4624 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 110 and 1469149770.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -0.2*-4.548\nAnswer: 0.9096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 - -1564) + 48\/(-3) + 15. Is 10 a factor of (-79 - -76) + b*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2435450.4 months in centuries?\nAnswer: 2029.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 35228.02 days in seconds?\nAnswer: 3043700928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 4, b: 2, a: 2, u: 1, x: 1}. What is prob of sequence axb?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the second derivative of -j**4\/6 + j**3\/2 - j**2 + 13*j + 6. Let f(a) = 4*a**2 - 6*a + 4. Let p = 111 - 106. Calculate p*v(z) + 2*f(z).\nAnswer: -2*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes before 7:53 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -15 + -100214?\nAnswer: -100232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 233263984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -3496 by -19.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -163\/13620 and -69\/24970.\nAnswer: 149820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 3\/29*(33 - 6790\/210)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 167975053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = -2*q + 1338 + 1477, 2249 = 4*w + q. Suppose 51*j - 84*j = -w. Solve y = n - 4*y - 13, 3*y + j = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes before 10:56 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9.81 + 531.81. Let w = -521.99999914 + n. What is w rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (189\/(-1764))\/((-6)\/28). Let y be (-35)\/25 + 2\/5. What is the nearest to l in 0.09, y, -3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*-1*1*((5 + sqrt(343) + (2 + 0 + sqrt(343))**2)*2 + -4).\nAnswer: -1400 - 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u + 3 = 0, -2*t + u = 3 - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**3 + 11*q**2 + 11*q - 1. Calculate s(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1161 and 15.\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 2 w, and 1 t when four letters picked without replacement from {t: 1, w: 3, u: 1, b: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 237*p + 5880. Determine f(-25).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - -6 - (2 + 44 - 27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 13) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 133104 + -2?\nAnswer: 133102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 102*(4 + 44\/(-12)). Suppose -5*w + 4*l = -3*w - 10, -2*w - 4*l + h = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/((-10)\/5) + -3. Calculate the remainder when 255*(-4)\/48*p is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, f: 3, w: 2, v: 6, n: 1}. Give prob of picking 1 v, 1 u, and 1 w.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -39\/50 and -109\/170.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 234945576 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*w + 3*p - 4377, 1096 = -w - 2*p + p. Let h be w\/(-33) + (-10)\/55. Suppose 0 = 2*r - h - 1. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -m + 37, 2*m = c - 0*c + 4. Let j(i) = i + 16. Let x be j(c). Determine o so that 5*o**3 + 7*o + 12*o**x - 2*o**3 + o**3 + o = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1, -59, -133, -227, -347?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -36*i**3 + 86*i**3 + 3*i**4 - i**4 - 2*i + 2*i**2 - 3*i + 3*i in the form b*i**2 + t*i**4 + y*i**3 + g*i + v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 2*s**2 - 262*s + 9. Determine n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 517\/7 - 2599\/35. What is the nearest to 1 in 0.1, c, -1, -0.06?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**1\/k*k)**(6\/19)\/((k**(4\/3)\/k)\/(k\/(k\/((k**(-1\/2)*k)\/k*k)*k*k))))**(-1\/29))**43 assuming k is positive.\nAnswer: k**(7439\/3306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 99, -1, 0, 800, -4.\nAnswer: -4, -1, 0, 99, 800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Subtract 117058543 from 327.43.\nAnswer: -117058215.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -139\/2 + 69. Which is smaller: -9 or f?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 6404 - 200773?\nAnswer: -172367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -24 + 170\/7. What is the second biggest value in 0.4, -4, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.16 - 0.34. Sort 3\/7, 2\/3, v in decreasing order.\nAnswer: 2\/3, 3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the second derivative of b**4\/12 - b**3\/6 + 7*b**2\/2 - 10*b. Calculate the remainder when 105 is divided by h(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:44 PM and 9:44 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 12) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -30, -87228, -0.09, 0.3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 3*d - 4*v = 837, 3268 = 4*d + 4*v. Let h = 1254 - d. Does 49 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.26? (a) 24 (b) -3 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 384518297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 14, 0.5 in decreasing order.\nAnswer: 14, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38991760.\nAnswer: 2, 5, 487397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 19*j**3. Calculate the remainder when 91 is divided by d(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 22103 (base 4) to base 2.\nAnswer: 1010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2, 36, 116, 260, 486, 812, 1256, 1836?\n\"Answer: 3*j**3 + 5*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 669.921 times -0.43?\nAnswer: -288.06603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.11 - -0.61. Let r = 0.7 - -0.3. Let l be (20\/(-25))\/(760\/100). Which is the nearest to r? (a) l (b) s (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 58497675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 258264*d*i**2 - 146*d*i + 3*d - 2*i**2 - 63*i + 12 wrt i.\nAnswer: 516528*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, r: 3}. Give prob of sequence zrrz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**3 + 26*y**2 - 164*y + 13274. Give w(33).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 38920 - 19764. What are the prime factors of q?\nAnswer: 2, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -2*f. Suppose g + 2*g = b + 4, 5*b = 2*g - 20. Let c(k) be the third derivative of 0*k**3 + 0*k + 0*k**4 + g + 2*k**2 - 1\/20*k**5. Calculate c(j(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.01271 - 0.41271. What is the closest to 0 in -8, -11, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 712619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 200792 = 4*r, -11225 = 4*r - 3*l - 212038. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 + -9. Let l = 4 - g. Let n be (-5)\/(-2) - (-1)\/l. Let c(v) = -3*v**3 - 2*v**2 + 2*v. Let r(p) = -p**3 - p**2 + p. What is n*r(a) - c(a)?\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 150*m**2 - 4*m - 534*m**3 + 543*m**3 - 137*m**2 - 7. Let x(o) = 5*o**3 + 7*o**2 - 2*o - 4. Calculate 6*u(b) - 11*x(b).\nAnswer: -b**3 + b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 3627, -8, -2, 27, 2 in ascending order.\nAnswer: -8, -2, 2, 27, 3627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2.9 + 3. Let k = 16 - 13. What is the smallest value in -1\/3, a, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -3*m**2 - 10 - 13*m + 2*m**2 + 0*m**2. Let w be a(-11). Solve 2*y + y = w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 3*v**2 - 5*v - 10. Let d(j) = -2*j**2 + 4*j + 9. Give -7*d(m) - 6*o(m).\nAnswer: -4*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 880 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 96\/288*80\/4*(-11)\/(-330).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*c + 5*r, 2*c - c - r = 4. Let y be -5*(-1 - (-5 - 0)). What are the prime factors of c\/2 - 50\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/((-4)\/(-1579)) - 27\/(-54). Suppose -v - 5*p + 13 + 145 = 0, -5*v - 3*p = -n. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxs when three letters picked without replacement from {j: 1, x: 3, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 4*z - 1. Let j(c) = 7 + c - 7. Let i be -1 - (-1)\/(3\/6). Give i*b(t) - 5*j(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jzjj when four letters picked without replacement from {z: 15, j: 4}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-36)*t\/t**(2\/25) assuming t is positive.\nAnswer: t**(-877\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25450*s**3 - 25255*s**3 + 68685*s**3 + 44858*s**3 - 6051*s**3.\nAnswer: 107687*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d**2 + 3 - 3)*(-3*d**3 + 5*d**3 + 0*d**3) - 83*d**5 - 43*d + 43*d - 18*d**5 - 24*d**5 + 45*d**5.\nAnswer: -84*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3433048, -6866128, -10299220, -13732330, -17165464, -20598628, -24031828?\nAnswer: -27465070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -43*d. Let f(x) = -56*x + 3808. Let i be f(68). Let j(y) be the third derivative of 0 - 16*y**2 + 0*y**3 + i*y**4 - 1\/60*y**5 + 0*y. Give j(h(w)).\nAnswer: -1849*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(130)*4 - sqrt(130))\/(sqrt(20)\/(4*sqrt(2)))*4.\nAnswer: -272*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(200) + sqrt(200) + sqrt(200) + 0 + sqrt(200) + -1)**2*-5.\nAnswer: -16005 + 400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x**4\/7 - 16*x**3\/7 - 24*x**2\/7 + 16*x\/7 + 20\/7 = 0. What is x?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14968 = 5*t - t. Let z = -19183\/5 + t. Let p = z + 94. Which is the biggest value? (a) p (b) 11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -160358 and -0.15404.\nAnswer: -160358.15404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the third derivative of -g**7\/84 - 17*g**6\/48 - 5*g**5\/8 + 85*g**4\/48 + 20*g**3\/3 + 1983*g**2. Suppose c(i) = 0. What is i?\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:37 PM and 10:41 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6 - -272e7b?\nAnswer: 272e75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 35 = -5*u, -6 + 1 = 5*u + 5*c. Let a(n) = 21*n + 6 - 22*n + u - 9. Let q(r) = r**2 - 6*r + 6. Let h be 38\/(-6) + 3\/9. Give h*a(b) + q(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*f + f - 6*f)*(-3*f - f + 3*f) + 2*f - 2*f + 4*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*z - z + 7*z + z + 304 + 2*z**2.\nAnswer: 2*z**2 + 31*z + 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:31 AM and 9:29 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 921319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -21490116 by -67.\nAnswer: 320748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -607 + 1?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -4*m + 12, 4*m + 3*s + 4 = -0. Suppose 0 = -5*o - m*r + 9, o - r = r + 9. What is the first derivative of -j**4 + o - j**4 + 5*j**4 wrt j?\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j + 2*y - y = 0, 86*j - 82*j + 2*y - 4*y = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of 0*v - 3\/2*v**3 - 1\/60*v**5 + 19*v**2 + 1\/4*v**4 + 0. Let j(n) = 0. Calculate n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 926\/7 - 135. Suppose -11*t + 66 = 11. What is the common denominator of k and t - ((-648)\/300)\/(3\/(-15))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor a**3\/2 - 29*a**2\/2 + 14*a.\nAnswer: a*(a - 28)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 3301, 16, -2, 5, -4, -3 in ascending order.\nAnswer: -4, -3, -2, 1, 5, 16, 3301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from ryehlhzy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/10 + 0)\/(4\/(-40)). Suppose -b*d + 143 = 11. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -14 and 460.0219.\nAnswer: 446.0219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 7}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 545996609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -141*h**2*t**3 - 64*h**2*t**2 - 617*h**2*t - 2*h**2 + h wrt t?\nAnswer: -846*h**2*t - 128*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-318)\/(-689) + (-41853)\/13. Is -16088\/5 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19734555.\nAnswer: 3, 5, 1315637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24 and 2521284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -2, -1, 15, 10\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 2 (c) -5 (d) -8\/2183 (e) -248\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2*f**2 + 274*f + 2297. Calculate g(140).\nAnswer: 1457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 45766187\/285642 + 1\/31738. Let y = 160 - p. Put 4, -2\/3, y in ascending order.\nAnswer: -2\/3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/4029 and 61\/2185?\nAnswer: 8803365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -11*d - 1. Let p(q) = -2*q**2 - 9*q - 1. Let u(n) = -4*o(n) + 5*p(n). What is u(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3501859\/3779755 - -366\/395. Is x <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 18 = -2. Let x = 4 - o. Suppose 21*r - 23*r + 32 = x. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 1434*k + 16. Let f(u) = -4*u. What is a(f(p))?\nAnswer: -5736*p + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 675 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -21, 120\/11, 4\/19, -2?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (35\/(1260\/48))\/(1*1400\/(-12))?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 23*z - 40*z + 21*z - 5*z + 2*z + z + (3 - 4 + 0)*(4*z - z - 5*z) + z + z - 3*z + 0*z - 5*z + 4*z - 7*z + 1 + 5*z + z to the form r*z + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*i**2 + 22*i**2 - 7*i**2 + 17*i**2.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -63, -56, -39, -6, 49?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (3 - (4 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 3 (b) 0.3 (c) 192 (d) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -9*x**2. Let l(u) be the third derivative of -u**7\/2520 + 5*u**4\/24 - 5*u**2. Let j(g) be the second derivative of l(g). Calculate f(j(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes before 10:42 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 - 432550521?\nAnswer: -432550524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12 + 14. Suppose t*r = -b + 21, -2*r - 2*r = -20. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 2*a**2 + 0)*((1 + 1 + 0)*(2 - 1 + 0) - 3 + 4 + 1)*(-1 + 2 + 1) in the form f*a + b + z*a**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 214 by 2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -117 = -m + 5*z - 134, -3*m - 5*z + 9 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q - 53 + 5. Suppose -2*f + q = 2*h, -3*h - h = 3*f - 40. What are the prime factors of ((-6)\/(-9))\/(f\/516)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7907 + -4928. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -29 at least -6355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2496 and 39376?\nAnswer: 6142656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 31\/147 - -403\/490. What is the common denominator of -47\/360 and j?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 8 = o. Let h(b) = 2*b - 2. Let a be h(o). Suppose 0 = -k - k - 3*n + 6, -3*n - 30 = -a*k. Calculate the greatest common factor of k and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*r - 948*p + 949*p + 1, 0 = -2*r + 2*p - 34 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 35 - 40. Let u(z) = -2*z - 2. Let v be u(-4). What is the biggest value in b, 1\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/134 < 6187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -36*n**2 + n**3 - 41*n**2 + 68*n**2 - 2 - n as j*n**3 + u + s*n + l*n**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -16, 2, -4 in ascending order.\nAnswer: -16, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -c**2 - 288359*c - 1153420 = 0.\nAnswer: -288355, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.34 - -0.24. Is -7 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, -0.3, -1\/4, -4, -5, -10.\nAnswer: -10, -5, -4, -1\/2, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.22, 1\/10, -4, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1078*k - 753*k + 6825 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -14*s**2 + 8*s - 8. Let i(z) = -2*z**2 + z - 1. Let m be 8\/(-1)*(-8 - -5)\/3. Let w(t) = m*i(t) - v(t). Let q(j) = 32*j**2. Determine q(w(x)).\nAnswer: 128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -22\/145263 and -18\/8267.\nAnswer: 1016841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.846915mg to grams.\nAnswer: 0.005846915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2a00 + 2?\nAnswer: 2a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1 + (2 - ((2 - 3) + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -2*h + 5*h. What is the remainder when h is divided by -5 - 2\/4*-18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*y + 21*y - 7540 + 15068 + 6*y - 7509 - 4*y.\nAnswer: 48*y + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-w + 4 - 4)*(-9*w - 445 + 17*w + 657) to the form c*w + m + l*w**2 and give c.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z - 4*z - 4 = -4*m, 4*m + 5*z = 4. Let c = -74 + 79. Solve c*w - p + 0 - 11 = 0, 0 = -p - m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30946543 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (0 - -2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*z = 43632 - 155195. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i - 554*u + 1112*u = 560*u + 2, -4*i = 2*u - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*v + 6052 = 9*v. List the prime factors of v.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*a**2 + 7*a**4 - 3*a**2 + (570*a**4 - 271*a**4 - 432*a**4)*(3 - 2 + 0) - a**4 + 1 - 1 to r*a**4 + u*a**2 + h + s*a + z*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w = -5*q + 15, -39*w - 4 = -41*w - 2*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/10*(-235)\/423?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 197.3 + -210. Let o = -13 - v. Which is the biggest value? (a) 1\/5 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - -20 - (354 - 347)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 PM and 6:09 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 4, u: 4, o: 6}. Give prob of picking 2 u and 1 m.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 20*l**2 - 2238*l - 214. Determine f(112).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fhhojjmofjolf. Give prob of sequence oof.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 51401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-11)\/(-2))\/((-14)\/(-392)) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 + -38?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -276, -3, 0, -1, 4 in decreasing order.\nAnswer: 4, 3, 0, -1, -3, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x + 84 = -3*g + 97, -3*g - 8 = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 136 and 1886126948?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 2 j when three letters picked without replacement from rwjjwtterwrjv?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 less than 12259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 3 + 9 + -24 + 3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of 1020*t**2 + 495\/4*t**4 - 720*t + 24 + 4*t**5 + 3235\/3*t**3. Let l(a) = 0. What is a?\nAnswer: -12, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -38 - (-156 + (188 - 72))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-1\/3)*v*v\/v**(1\/7))\/(v\/((v\/v**2)\/v*v))**(4\/3))\/((v\/((v**(-2)*v)\/v)*v**(-5)\/v)\/((v*v**(-4)\/v)\/(v\/v**(-4\/3)))) assuming v is positive.\nAnswer: v**(-94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3380 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be (21\/(-28))\/((-2)\/(-8)). Let p be (-3 + -1)*2\/(-2). What is the units digit of 9 + p + (-3)\/q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 2 c when three letters picked without replacement from rruururuccccrcurs.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 450*c - 2708. Let j be r(6). Sort -11, 0, j in decreasing order.\nAnswer: 0, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/(-1) - (5 + (-8)\/2). Suppose -83 = -5*j + u, j - 27 = -q*j - 5*u. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 945?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11469, -11516, -11563, -11610, -11657?\nAnswer: -11704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1096 + -1178. Let k = -81.6 - t. Let n = 0 - 0.2. Which is the second smallest value? (a) n (b) 5 (c) k (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9 - -32. Let m = 137 - 91. Let r = m - l. Which is the fourth smallest value? (a) -0.4 (b) 2\/7 (c) r (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3 + 2 + -1 + (3 + 6 - -17). Sort 5, 0.5, o, 2, 0.4.\nAnswer: 0.4, 0.5, 2, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that 3*t**3\/5 + 144*t**2 + 9315*t + 182250 = 0.\nAnswer: -150, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 6463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16569 - 49712\/3. Which is the biggest value? (a) 7 (b) 3\/8 (c) q (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3601, 28985, 97917, 232171, 453521?\nAnswer: 783741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 13) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {l: 3, m: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -3382187.34 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2439713179\/54669168924 - 5651\/753756. Let h = 1\/2501 + o. Let f be ((-7)\/(-6))\/(-7) + 6\/36. Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -223740, -447469, -671190, -894903, -1118608?\n\"Answer: 4*x**2 - 223741*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes before 10:46 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 + -1 + 2880\/9. Let q = -1588\/5 + k. Suppose 13*z = 3*z. Is z greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 6) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by 4350.\nAnswer: -7\/4350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 12, -22, -116, -300, -604, -1058, -1692, -2536?\n\"Answer: -5*i**3 + i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -7*x + 13. Let b be y(3). Let k(q) = q**2 + 12*q + 10. Give k(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**3 - 5*g**2 - g + 2. Let n be 174 - 164 - ((-1)\/1 - -5). What is l(n)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 + 25194*r + 1966*r - 5.\nAnswer: 27160*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 16973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:00 PM and 8:38 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54846?\nAnswer: 2, 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 916 is divided by 341?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, 10, 5, 8.\nAnswer: 5, 8, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 + (-3)\/2)*0. Let z be 3 - 70\/(-20)*8\/(-14). Is r bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-177)\/(-708))\/((-4)\/18*6\/(-40))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 0 + 3)*(-3*k - k + 7*k)*(-44*k + 44*k - 30*k) - k**2 + 0*k**2 + 2*k**2 as v + q*k**2 + f*k and give q.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = -3*o + 3*m, -2*o - 7*m + 141281 - 141257 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64*f + 2778 = 70*f. Let c = f + -244. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 29\/2 of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 2725, 1 in decreasing order.\nAnswer: 2725, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 4*r + r + 2*r - 5*r. Let w(b) = b. Calculate 9*w(p) - 4*y(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -t**2\/2 + 12510087*t = 0.\nAnswer: 0, 25020174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, 3, 5, 0.\nAnswer: 0, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 + -1 - -10) + 0. Let d be (16*3 - 4)*2. Calculate the highest common factor of y and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 305133 is divided by 542?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 45 * -0.09741904.\nAnswer: -4.3838568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - 9 - (-7 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 194537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -6 + 16, 2*n + 40 = -3*l. Let u be 16\/l - 5\/(75\/(-1685)). Is u less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 16 = 0, -s + 4*x + 844 = 4*s. Suppose 0 = 3*m + 4*n, 0*m + 4*m = n + 19. What is the least common multiple of s and m?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4067 + 7470. What are the prime factors of j?\nAnswer: 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -45 (c) -1863\/2 (d) -3\/8 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 3495.279ml?\nAnswer: 3.495279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 20 = -3*m, 4*t - 8 = -2*m + 4*m. Calculate the common denominator of -71\/92 and ((-2730)\/8)\/5*t\/6.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 586*a - 9374. Let l be k(16). Solve -2*d - 3*j = -6, 4*d - 7*d = l*j - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9255 + 9669. Let o be (72\/14)\/((-2)\/(-14)). Calculate the highest common divisor of o and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.900703ng in grams?\nAnswer: 0.000000004900703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 112 = -4*p - 30, -2*p = -5*f - 32. Is 174\/p + 4\/(-14) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 5*i = -0*i - 29, 2*i = 4*y + 18. Let h be (y\/6)\/(3\/(-27)). Suppose -h*k + 6 + 15 = 0. What is the greatest common factor of 28 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - y - 6 = y, -2*y = -n + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, r: 1, u: 1, a: 2, n: 2}. What is prob of sequence srn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, -322, -2, 2, -9, 459 in descending order.\nAnswer: 459, 5, 2, -2, -4, -9, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is (1712240\/12 - 0) + (-95)\/57 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -3*a. Let c(l) = 1. Let v(k) = 2*c(k) + f(k). What is the units digit of v(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 + -4 + 4 + 4. Suppose w = 5*g - 3*l - 13, -4*l - 12 = 0. Solve -g*u - 5 + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 212326726513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 11*p**2 - 47*p + 269. What is the remainder when z(5) is divided by 302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 0*g = g - 18, 3*w + 4*g - 4 = 0. Solve -3*c = -4*v + 6*v + 2, 4*v + 2*c = -w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 5781, 5782, 5783?\n\"Answer: t + 5780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 71*o. Let u be (35 - 276)*(1 - 2). Let a(s) = -u*s + 483*s - 241*s. Give a(z(w)).\nAnswer: 71*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 437888, 437938, 437986, 438032, 438076, 438118?\n\"Answer: -v**2 + 53*v + 437836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 7*l**2 - 5*l + 1. What are the prime factors of b(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-27)\/(-15))\/(342\/(-2850))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*g + 5*z = g + 68 - 14, 56 = 4*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -457*r - 179*r + 69*r - 1138*r.\nAnswer: -1705*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 118602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and -156.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3330997*r**3*s + 357703*r**3 - 2*r**2 + r + 2 with respect to s.\nAnswer: -3330997*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/9 + (-90356)\/(-126). Suppose -r = 2*n - 2963. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/4709? (a) -6 (b) -1.6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(1250)*-1 + sqrt(1250) + (sqrt(64) + (sqrt(64) - sqrt(64)*-2) + sqrt(64))\/(sqrt(8) + sqrt(200)*-1).\nAnswer: -55*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 2\/3269 (b) 3\/7 (c) 1 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3127, 3128, 3131, 3136, 3143, 3152?\n\"Answer: k**2 - 2*k + 3128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -40 or -239\/6?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Do 0.095 and 26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -905712*z + 16. Let x be f(-7). What is x rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (48 + -23 - (7 - 0))) + 2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10 divided by 27?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 22 - 19. Let d(t) be the first derivative of t**2\/2 + 7*t + 1. What is the least common multiple of d(i) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 44.07472 litres to millilitres.\nAnswer: 44074.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6147\/8 + -768. Let n(c) be the third derivative of -1\/10*c**5 + 0 + 1\/40*c**6 + 15*c**2 + 0*c + 0*c**3 - j*c**4. Factor n(q).\nAnswer: 3*q*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 2*b**2 + 8*b**3 - 2*b + 25*b**3 + 17*b**3 - 11*b**3 to s*b**2 + u*b**3 + d + j*b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, -0.36, 71507?\nAnswer: 71507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -9*s**2 + 18*s - 642. Let d(y) = -y**2 + 3*y - 107. Let o(h) = -6*d(h) + u(h). Let k(b) = 32 - b**2 + 9 + 3*b**2. Give o(k(w)).\nAnswer: -12*w**4 - 492*w**2 - 5043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be 195 - ((5 - 5) + 0). Let q = -187 + n. What is the greatest common factor of 44 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -136 at most -136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-11120)\/(-12)*96\/160 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 214137870.\nAnswer: 2, 3, 5, 37, 192917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*z + 3*z - 4*z + 5*z - 2*z - z + (5 - 2 - 5)*(2*z - 2*z + 2*z) + (-2 - 6 - 8)*(0*z - z - z) to l + k*z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**4*t*t*t**(-1\/11))**15*((t**(3\/2)\/t)\/t)\/t**(1\/2)*t**(-2\/15)\/(t\/t**(-1\/4)) assuming t is positive.\nAnswer: t**(66827\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c - c**2 - 2*c + 4*c**2 - 2)*(c + 1 - 1).\nAnswer: 3*c**3 + c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0016486688 less than 944838?\nAnswer: 944838.0016486688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -881788*q**5 - 5*q**2 + 50*q - 65?\nAnswer: -52907280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2 + z**2 + 0*z**2 + z**2 - 9. Let m(r) = 5*r**2 - 14. What is 8*g(o) - 5*m(o)?\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1126, 1319, 1568, 1873?\n\"Answer: 28*p**2 + 109*p + 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 30 and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 8) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -24*j**2 + 36. Let g(p) = 9*p**2 - 15. Let m(q) = 5*d(q) + 12*g(q). Let n(y) = -5*y**2. Determine m(n(c)).\nAnswer: -300*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -64*k + 169. What is h(1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 415*j**3 + 19 - 207*j**3 - 2*j - 202*j**3 - 2*j**2 - 8 to k + z*j + c*j**3 + r*j**2 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -4*j + 8*j**2 - j + j**3 - 2*j**3 + 5 - 14. Is l(7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y - 8. What is the smallest common multiple of 3 and s(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3901 - -6651. What is the greatest common divisor of 220 and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/(-1 + (-268)\/(-28)). Let t be 8\/9*3\/10. Let w = q - t. What is the third smallest value in 1, w, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 58 = -r, -t + 2*r + 24 + 8 = 0. Let b be -6*(-2)\/3 - (-100)\/10. Calculate the greatest common factor of b and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.6 plus 20780.902?\nAnswer: 20782.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8071 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 279 is divided by 225?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 605962369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -97*h + 576. Let v be t(6). Let l(o) = -o**3 - 6*o**2 - 8*o - 7. What is l(v)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5.99999942 - 6. What is r rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from jjjrr.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 277*o**2*v**2 - 2527*o**2 - 15386*v**4 - 340 wrt v.\nAnswer: 554*o**2*v - 61544*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t = 5*z - 5, 0 = -16*z + 14*z - 2*t - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -229*z - 1374. Let p be v(-6). Solve p = 46*x - 49*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/(-38) + (18\/(-99) - (-46)\/253).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3979, 7782, 11421, 14902, 18231, 21414, 24457?\nAnswer: 27366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 173, -726, -3055, -7528, -14859, -25762, -40951?\n\"Answer: -119*p**3 - p**2 - 63*p + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -5*m - y, -977*y = -3*m - 975*y - 11. Let o(q) = -40*q - 3. Let n(l) = l - 1. Determine m*o(z) + 3*n(z).\nAnswer: 43*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 - (0 + -2) - 0. Suppose -3*r - w + 7 = 0. Solve 0*v = r*v + 4*o + 16, 4*v + 8 = 4*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes after 9:56 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 7947769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -19770.3055 to the nearest integer.\nAnswer: -19770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 30756090 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -22c6 (base 13) to base 15.\nAnswer: -16b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (-137 - -145) + (-1 - -1 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 2 = -4*y. Let g(t) = 14*t**3 + 2*t + 1. Let n be g(-1). Let i = n - -17. Sort y, i, 4 in increasing order.\nAnswer: y, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 1, 6 in decreasing order.\nAnswer: 6, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25187715?\nAnswer: 3, 5, 7, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 AM and 11:21 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -111 divided by 5453\nAnswer: -111\/5453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 23021271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes before 10:04 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-54))\/(16\/36*27\/(-18)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 - -131. Let w = 653\/5 - v. What is the nearest to -1 in w, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 0.2, -0.3, 11.8, 8\/7, 35 in decreasing order.\nAnswer: 35, 11.8, 8\/7, 0.5, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 30*(-78)\/25740*(-11)\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5271 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -5*t + 18. Suppose -3*y = 3*s - 123, 0*s - y + 86 = t*s. Calculate the remainder when s is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 = -0*x + 5*x - 2*a, -3*x - 15 = -a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iia when three letters picked without replacement from {i: 6, a: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((4 - 1)\/3)\/(-1). Let n(w) = 6*w**2 + w + 1. Let g be n(q). Suppose 0 = 3*x + 3*u + 6, g*u + 16 = 2*u. Solve 9 = 3*l, 0*f + x = -f - l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6061366, 12122734, 18184102, 24245470, 30306838?\nAnswer: 36368206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 310407138 to the nearest integer?\nAnswer: 17618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**2 - 2*b + 2. Calculate o(7).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 4*a = 12. Let i(h) = -h + 4. Let s be i(a). Let p be ((-4)\/(-5))\/(s\/(-5)). Solve -2 = -p*d - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/z**5*z**(1\/2))\/(z**(-1\/10)*z*z**(-4)*z) assuming z is positive.\nAnswer: z**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-288)\/(-130)*(15 + (-510)\/18). Does -30 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2469950 and 61250.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 916164911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 1141 = 5*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 144346 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5603 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = w - 3*c, -4*w + 10*c = 5*c - 3. Let r(x) = x + 11. Let b(k) = -k**2 + 5*k. Let o be b(6). Let l be r(o). Solve l = s - w*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*c - 787 = -48*c. What are the prime factors of c?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 10*d**2 - 56*d - 16. Calculate w(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -81, -14, 6, -2, 2, -8.\nAnswer: -81, -14, -8, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m + 413*m**3 - 407*m**3 + 0*m.\nAnswer: 6*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1020480306?\nAnswer: 2, 3, 127, 131, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -4\/15, 2, 0.1, -26, 12.7 in increasing order.\nAnswer: -26, -4, -4\/15, 0.1, 2, 12.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 488634425*n**3 - 1519*n**2 - 649*n - 2 wrt n.\nAnswer: 2931806550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 4, k: 2}. Give prob of picking 1 k and 2 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -3*w**3\/7 - 5793*w**2\/7 - 2799465*w\/7 - 2793675\/7 = 0.\nAnswer: -965, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 742671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 461385700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be (44\/8)\/(2\/4). Suppose 2*r + 45 = -9. Let x = i - r. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 24552 (b) -0.3 (c) 31 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -2*i**3 - 5*i - 5. What are the prime factors of z(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 12*n + 6. Let h(q) = -14*q - 7. Let y(l) = 4*g(l) + 3*h(l). Let w(v) = -v**3 - 3*v**2 - 2*v + 2. Let o be w(-3). Is y(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 67 + -62. Suppose s = -j + 9. Let g(c) = 6*c**3 + 2*c**2 + 4. Let r(p) = 13*p**3 + 4*p**2 + 9. Give j*r(w) - 9*g(w).\nAnswer: -2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 126 and 7938.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -571 - -8439. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**30*j*j**(1\/7))**(-2\/127) assuming j is positive.\nAnswer: j**(-450\/889)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 180.17 rounded to zero dps?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/(r*r\/(r**(-6\/7)\/r*r)))\/(r\/((r*r**(-3\/7))\/r))*(r*r**(3\/4)*r*r)\/r**7 assuming r is positive.\nAnswer: r**(-155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be (8 - 34)\/(11 + -13). Solve 0 = -3*x + 2*x - 2*r - i, -25 = 5*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000001367 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 0*z + 3*j + 12 = 0, 4*j = -5*z + 3. Let t(q) = -q + 6. Let h be t(6). Find the second derivative of 0*m**2 + h*m**2 - 4*m**3 + 6*m - 3*m**z wrt m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**3\/7 - 36062814*m**2\/7 - 72125637*m\/7 - 36062820\/7.\nAnswer: 3*(m - 12020940)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is v in -v**5 + 6*v**3 - 8*v**2 + 3*v = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vgg when three letters picked without replacement from {v: 1, k: 2, g: 2, i: 6, u: 5}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14844958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -257 - 14 + 26 + 5*v - 85*v. Let w(i) = -3*i - 9. Let c(h) = 2*u(h) - 55*w(h). Let n(p) = 1. Determine c(d) - 5*n(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 30 (base 11) in base 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6860 - 5291 = -84*f + 8597. Is 1\/5 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85042056 divided by -2?\nAnswer: -42521028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*f**6*i - 44*f**4*i - 5*f**3 - f**2 + 4*f - i wrt f?\nAnswer: 360*f**3*i - 1056*f*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 528*a + 501*a - 264 = -21873 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 55352428 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(50)\/(sqrt(490)*2))**2 - (3 + sqrt(80) - sqrt(80)\/sqrt(4)).\nAnswer: -2*sqrt(5) - 127\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -2*m**3 - m**2 + 6*m + 18. Is 9 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1221709586 to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*o**3 + o**3 - 2*o**3 + (-3*o + o + 3*o)*(3 - 3 - o**2) + (-4 + 4 + 2*o)*(-738 - 1492*o**2 + 738).\nAnswer: -2983*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + (-32 - -15) + 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.2379 - 0.0919. Let u = 15.8 + -15.714. Let w = u - s. Round w to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -959.6 + 960. Which is the nearest to 3\/8? (a) z (b) -2\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 1 - 1 + 10*b - 4*b. Let h(q) be the third derivative of -q**5\/60 + 7*q**2 + 3. Give h(m(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4841230329 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 2715.17 meters?\nAnswer: 2715170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*b = 56*b + 320 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 3, m: 4}. Give prob of sequence mmcc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b + 77*n = 157*n - 75*n + 322, 0 = -3*n - 153 - 42 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 153799 (base 12) to base 14.\nAnswer: 94aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*z + 12. Suppose -1 - 29 = -5*h + g, 5*h - z*g = 30. Let t be (h\/(-2))\/(1 - 2). Solve t*n = -4*f + 4*n + 20, -20 = -4*f - 2*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1152 * 0.4.\nAnswer: -0.04608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -757578, -757560, -757512, -757428, -757302?\n\"Answer: r**3 + 9*r**2 - 16*r - 757572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.4 + 0.3. Let m = 19.56 + -20. Let p = m + -0.06. What is the nearest to k in 2\/3, p, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2551634 divided by -95?\nAnswer: -2551634\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 15637 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**3 - 3*k**2 - 4*k + 5. Let s be v(1). Which is smaller: s or 6\/599?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*k + 301 = -125*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/7, 13, 0.41, 5, 1, -0.4?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3394*f*w**4 + 2*f*w**3 - 20*f*w**2 + 99*f*w + 5*f + 484*w**4 + 25*w**2 wrt w.\nAnswer: 81456*f*w + 12*f + 11616*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -234\/401 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 16*w**2 + 5*w - 1. Let u(g) = g**2 + g. Let j(q) = k(q) - 6*u(q). Let s be 2 + -3 + 0 + 0. Is j(s) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*q**2 - 75539*q**3 + 75555*q**3 + 4*q**2 + 15*q**4 as a*q**2 + v*q**3 + f + y*q + w*q**4 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -3*s**2 - 3. Let h(t) = -9*t**2 - 8. Let w(u) = -3*h(u) + 8*k(u). Let c(o) = -4*o. Calculate w(c(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 - -5 - 1*-2. Let l be 8\/s - (-6)\/9. Let f = 607 - 607. Solve f = -l*a - d - 13, 6 = -5*a - 4*d - 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -291486 times 5\nAnswer: -1457430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -2*g**2 + 3*g + 3. Let k be l(3). Suppose -o = -1 + 12. Let x = k - o. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 62*h = -41*h - 1197 - 142 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1611 is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 11068953, 11068981, 11069029, 11069097, 11069185, 11069293, 11069421?\n\"Answer: 10*v**2 - 2*v + 11068945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 545955.\nAnswer: 3, 5, 17, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1848 and 1781736?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3500) - (sqrt(3500) - 3*sqrt(3500)) - sqrt(3500) - sqrt(35))\/(1*3*sqrt(5)) + ((1 + sqrt(7) + -3 - -1*sqrt(175))*-6)**2 + 2.\nAnswer: -2573*sqrt(7)\/3 + 9218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -3762080 and -21?\nAnswer: 3762059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 42.9554*2.7\nAnswer: 115.97958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -15.42, 0.1, -0.5, -1?\nAnswer: -15.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + 2 - ((-14 - 5) + 48).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1415*y + 1415*y - 5*s = 0, -4*s = -3*y + 51 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 71442 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 7, n: 2, v: 3, t: 3}. What is prob of picking 1 v, 2 n, and 1 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3714 + -37107\/10. Let q be 3*(4 - (-6)\/(-2)). Suppose q*h = -12, 2*h + 118 = -2*u - 3*h. Find the common denominator of s and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/m**(-8\/9)*m**(-18) assuming m is positive.\nAnswer: m**(-145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u**(-7)*u))\/(u**4*u*u))\/((u\/(u\/(u**(-5)\/u*u)))\/u*u*u**(2\/13))*(u**1)**(-48)*((u\/u**(-2))\/u)**(1\/13) assuming u is positive.\nAnswer: u**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 50 = 245. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2331, -18, 0 in descending order.\nAnswer: 2331, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 244657 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 229903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 0*j - 2990 = -2*u, -1015 = -j + 3*u. Let q(b) = 1998*b**2 - 1 - b + 4*b**3 - j*b**2 - 997*b**2. Determine q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1, 33, 65, 97, 129?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/1446 and -9\/77602.\nAnswer: 232806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -68c4 - -4?\nAnswer: -68c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-14)*84\/(-24)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of -q**4\/24 - 2*q**3\/3 + 2*q**2. Let s be w(-8). Suppose -2*n - 2*n + s + 6*n - 6*n**2 = 0. Calculate n.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*x*y**4 + x*y + 2*x + 16141*y**4 - y**2 - 73757*y + 2 wrt y?\nAnswer: 120*x*y + 387384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the second derivative of -o**2 + 21*o + 0 - 1\/3*o**3. Give x(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {x: 1, d: 1, z: 2, e: 5, b: 3, l: 1}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -3*x. Let g(m) = 14276*m. Give k(g(q)).\nAnswer: -42828*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 2*f + 234 = -0*f, -3*f = 0. What is the remainder when a is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22 less than 0.9351?\nAnswer: -21.0649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:45 PM and 7:13 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -15 - 9. Suppose s*v = 5*v + 8700. What is v rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5 + 10 + 7*k - 14 + 4*k + k - 3*k + 5*k - k - 2*k + (k - 1 + 1)*(3 + 0 - 4).\nAnswer: 10*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -2*z**3 + z**2 - 1. Let y(w) = -2*w**2 + 12*w + 1. Calculate -x(p) - y(p).\nAnswer: 2*p**3 + p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 12064387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 16184 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.2 or 42669?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and 19.79.\nAnswer: -1.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (((-7)\/(-7))\/3)\/(4\/48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/(-8)*(-7)\/(-2) + 2. Which is the third smallest value? (a) 0.2 (b) r (c) -2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (17\/17)\/((-2)\/(-1412)).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40816309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 + 4*w**2 - 4*w - 2. Suppose -7*b - 411 = -376. What is x(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 2*p. Let k(v) = 117*v**2 - 2*v + 5. What is k(q(d))?\nAnswer: 468*d**2 - 4*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 976103 is divided by 122011?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 520 at most as big as 519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 242587*g**2 + 101*g - 6. Let a be r(18). Round a to the nearest one million.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1304.439 micrograms?\nAnswer: 1304439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) 3.6 (c) 0.09 (d) 11 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 229 - 287. Let i = f + 57.6. Are 17 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1*-3.2\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2088\/(-144))\/(1*((-45)\/(-10))\/9).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 154\/47 + -817\/235. Put 0.2, 2\/291, g, 0.4 in descending order.\nAnswer: 0.4, 0.2, 2\/291, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (24\/(-5))\/(3\/(-15)). Suppose h - 16 = n. Let z be 10\/h + (-19678)\/(-8). What is z rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 68 = 2*z + 15*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 5*w + 4 - 3 - 9*w + 0. Let l be c(-10). Suppose 4*f - d - l = 4*d, -2*d - 2 = 2*f. What is the nearest to 1\/5 in -0.5, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0009701 to 5 decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -776, -1866, -3218, -4814, -6636, -8666, -10886?\n\"Answer: 3*w**3 - 149*w**2 - 664*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1 (c) -2060\/9 (d) 1815\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -26 - -42. Factor -10*p**4 + 2*p + q*p**2 + 5*p + 0*p**2 + p - 14*p**3.\nAnswer: -2*p*(p - 1)*(p + 2)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -19\/6? (a) -3 (b) 4 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i + 9*i = -6. List the prime factors of (40\/i - 6)*453\/2.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 92*n**2 + 24993*n - 24993*n. Let d(t) = 3*t. Calculate j(d(p)).\nAnswer: 828*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 2*o - 750, -r = 4*o - 6*o + 750. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*z, 5*g - 2*z - 2*z = -4. Suppose o - 1 - 4 = 0, g = 5*l + 5*o - 165. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8 - (-8 - 0))\/2. Let a be ((-1)\/(-3))\/((-14)\/(-6)). Which is bigger: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h**2 - 4*h. Let l be y(4). Suppose -k = -5*f + 4*k + 330, 0 = -4*f + 2*k + 264. Let z = f + -71. What is the smallest value in l, -3\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 9*i + 635. Let g = 129 + i. Solve 2*j - 1 = 2*q - 11, -5*q + 10 = -g*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -862 + -318. What is q rounded to the nearest ten?\nAnswer: -1180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dkdf when four letters picked without replacement from zezzedzefzgzdkk.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*h**4*x - 3308*h**4 - h*x + 3*h + 1064*x - 1 wrt h.\nAnswer: -24*h**2*x - 39696*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1553.704804656492 + -0.129105603508. Let l = 1107.83391247 + c. Let f = l + 446. Round f to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (8\/8)\/((-6)\/(-6))*4\/(-38)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - -2) + 0 + -2 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 924 divided by 231?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-2)*s*s**(-2\/3)*(s*s*s**(-5))\/s*s*(s\/(s\/s**(-2\/3)))\/s*s*s assuming s is positive.\nAnswer: s**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -208 = -3*o + 8*o + 47*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39764235?\nAnswer: 3, 5, 7, 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 909 - 494. Let p(x) = -8*x + 94. Let f be p(11). Suppose 3*g + 4*y = 278, f*g - g - c = 3*y. What is the remainder when g is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12 - 0) + (-1 - 0 - -2) + -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 3*n**3 + n**2 - n + 1. Let q be u(2). Let x(o) = -7*o - 52. Let c be x(-10). Calculate the highest common factor of q and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w + 12. Let c be t(-11). Suppose c = -0*l + l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (0\/(12\/4))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**2 - 1. Let l be t(4). Let f be -35*(3 - 0)\/6. Let s = f - l. Sort -2, s, -3 in increasing order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -18*k + 7. Let l(q) = -3*q - 2*q**2 - 5*q + 4*q**2 - q**2. Let y be l(7). Is j(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -554.6 at least as big as -1110.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t + 4 - 2. Let i(f) = 20*f**2 - 1. Suppose -2*s = 6, -l - l + 5*s = -35. Calculate the remainder when i(t) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 - 1) + (4 - 1). Differentiate m**4 + 0*m**4 - f*m**4 - 6 + 2*m**4 wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 141 + -138. Let n be (30\/(-25))\/((-3)\/10). Suppose k*x = 5*x - 8, -26 = -5*c - n*x. Solve c*m = -4*d - 4, 0 = -2*m - m + 5*d + 27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 7192, 7194, 7196, 7198?\n\"Answer: 2*p + 7190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -218, 5, 0, -2, -17 in decreasing order.\nAnswer: 5, 0, -2, -17, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yypapppapaaajnyyny. What is prob of picking 2 y and 2 p?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*z - z + 3*z)*(-353*z + 436*z + 362*z + 411*z + 629*z).\nAnswer: 10395*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -372 - -993. Is 65 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 18\/3 - 111\/18\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.05 in 1\/8, -3\/7, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -55 + 62*o**2 + 2*o**3 - 65 + o + 121 to the form l*o**2 + s*o + z + t*o**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4488*c - 4600*c + 8907*c)*(1 + 5 - 4)*(c**2 + 0*c**2 + c**2).\nAnswer: -724*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 6*x - 664 = -4*x, -5*i - 668 = 4*x. Let t = -11 - i. Calculate the remainder when t is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-2))\/(3\/(-48)*12\/80*24).\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -49 and -249929.\nAnswer: 12246521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15055445*v**3 + 834*v**2 - 318*v + 2?\nAnswer: -90332670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -27858 divided by 6?\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -279 - -279. Put -8, v, 4, 3 in decreasing order.\nAnswer: 4, 3, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/2 + 2 + ((-594)\/(-110))\/((-1980)\/750).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 100 (base 8) to base 11\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the first derivative of 5\/2*u**2 - 2 + 2*u + 1\/4*u**4 - 7\/3*u**3. Let b = 19 + -13. Determine q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes after 10:51 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*h = 2*w - 40*h + 14, -2*w - 6*h + 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -29*b - 76. Let t be n(11). Let g = -106 - t. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes before 6:19 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2679858 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 5480, 10936, 16392, 21848, 27304, 32760?\n\"Answer: 5456*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 134 divide 154794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of -7*c**5\/5 + c**4\/2 + 110*c + 14. Differentiate l(d) with respect to d.\nAnswer: -28*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 113 = 6*w - 5*w + 2*m, 3*w = -m + 329. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20 + -16. What is the least common multiple of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 1\/18247695?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23628.\nAnswer: 2, 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7461*((-2)\/12)\/((-12)\/24).\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 135014 + -135?\nAnswer: 134546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be (140\/12)\/((-40)\/(-144)). Let v(f) = f**3 - 36*f**2 - 106*f + 65. Is v(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 80 is divided by 59?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 34 + -32. Find the third derivative of 65*r**6 - 46*r**6 - 15*r**s - 2*r + 2*r wrt r.\nAnswer: 2280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.014636 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2615*j**4 + 4099*j?\nAnswer: -31380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 316305.8ml?\nAnswer: 316.3058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.07, 3\/5, 2\/5, 0.2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 4*y**3 - 5*y**2 - 15*y + 23. Determine k(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(7*(-5)\/(-140)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*m - 33 = -z, 57*m + 65*m + 5 = -2*z + z + 124*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6 divided by 919?\nAnswer: 6\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 74 - 78. What is the smallest value in -0.02, a, 0.5, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79*r - 77*r = 8. Let x(c) = c**3 - 22*c**2 - 83*c - 96. Let u(i) = 22*i**2 + 82*i + 96. Let g(v) = r*x(v) + 6*u(v). Solve g(s) = 0 for s.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g - 5*g + 5*v = 9, -g + 3*v + 3 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 62672635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 - 233322*v + 85706*v - 185384*v.\nAnswer: -333000*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -9955 + 5?\nAnswer: -9950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 476 + -510 - 122\/(-4)*2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = -3*x - 2*l - 2*l, 0 = -4*x + 3*l + 87. Let v = -47 + 108. Calculate the least common multiple of v\/9 + 32\/144 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 4654816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 65 = -0*s + s, 2*x - 4 = 4*s. Let l = x + -3. Suppose 5*h - 124 = 4*j, -25 = -4*j - l. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -155 + 3*o - 123 - o**2 + 64 - 8*o.\nAnswer: -o**2 - 5*o - 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:09 AM and 4:52 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1156 - 461. List the prime factors of z.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -393 divided by -38.\nAnswer: 393\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 385, 768, 1151?\n\"Answer: 383*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-39699)\/22*(-6)\/9. Suppose 4*j = -3*y + 7181, j - s = -3*y + 599. List the prime factors of j.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 554 - 705 = b, -23*w - 3*b - b = -24*w + 34 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2*s + 170. What is the smallest common multiple of a(6) and 156?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-1)*30\/(-12). Let g be (-4232)\/(-40) + (-2)\/c. Round g to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/3*3\/14. Let h = 17 + -17.22. Let m = 0.22 + h. Are g and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 121843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 - 3*a + 2 + 0*a)*(-2*a - 2*a**2 + 2*a**2 - a**2)*(-5 + 5 - 3) as q + y*a**2 + k*a**3 + j*a and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -360 (b) 0.5 (c) 502\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = -15*k + 9. Suppose 0*d = k*d - 2*t - 10, 2*d + 4 = -5*t. Solve -2*x - d*b + 5*b + 14 = 0, b - 8 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 10:11 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i = -4*i - 5*s - 685, 1148 = 5*i - 2*s. Let m = -688\/3 + i. Let g(v) = v**2 - 2. Let l be g(2). Which is the smallest value? (a) m (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(756)\/sqrt(7)*-1*-2.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 143, 317, 545, 827, 1163, 1553?\n\"Answer: 27*r**2 + 93*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5535 + -108?\nAnswer: -5644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -50649300 to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j - f = 454346 - 454329, -j - 5 = -3*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2435 and 487?\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14 + -14.8. Let w = -1.8 - t. Let g = 5\/6 - 13\/6. Which is the nearest to -2? (a) g (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -486*-944020\nAnswer: 458793720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 4662*c**2 - 296*c + 296. Let z(b) = -79*b**2 + 5*b - 5. What is -5*q(w) - 296*z(w)?\nAnswer: 74*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -4*y**2. Let d(c) be the second derivative of -c**4\/24 + c**2 - 3*c. Let r(x) be the first derivative of d(x). What is r(s(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that -4*f**4 - 660*f**3 - 35728*f**2 - 652560*f - 1167424 = 0.\nAnswer: -68, -58, -37, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 343 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d - 4, -5*s - d + 32 + 47 = 0. Suppose 10*k - s*k + 20 = 0. Suppose -2*p - 5 = 3, -k*p - 24 = -2*a. Solve -a*u = -24 + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 0*z + 5*z = -41, 5*z = -10. Let a = -22 - q. List the prime factors of 1 + 911\/a - 14\/63.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14 + -14. Suppose -t + z - 5*z - 5 = x, -5*z = 5*t - 35. Suppose -6*o = t - 35. What is the greatest common divisor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 14674 by 46.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-6)\/n)**(-19)*(n**(-2\/5))**(-13\/3) assuming n is positive.\nAnswer: n**(2021\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffafffafafffffafaaa. Give prob of picking 2 f.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 216 a factor of 989505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 PM and 7:10 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/936 and 95\/14?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 14*k**4 - 9 - k + 7*k**3 + 7 + 2*k**2 - 13*k**4 + 8*k**3 in the form w*k**4 + x + g*k**3 + t*k + d*k**2 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 5*v**4 + 2855*v**3 + 408975*v**2 + 406125*v = 0.\nAnswer: -285, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-415)\/(-3) + (-4)\/3. Suppose -y + 3 = 0, -5*y + 50 = 2*b + j. Is b != -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = u - 0. Suppose -18 = -u*v + 4*v. Suppose v*k = 3*k + 111. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 19 - 16. Which is the nearest to -2\/3? (a) s (b) 4\/3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -21\/44, 3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from plpl. What is prob of picking 2 l and 1 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9702 divided by -28449.\nAnswer: 1078\/3161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1107 and 108.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 138091466 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((3*-2*sqrt(1300) - ((sqrt(1300) - (sqrt(1300) + 1)) + -3 - sqrt(1300))) + -6*sqrt(13)*3 + sqrt(13) + sqrt(650)\/sqrt(2))**2.\nAnswer: -249940 + 2480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48821.\nAnswer: 48821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-154401\nAnswer: 77200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 252*w = 387*w + 352*w - 18506 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 651554.8 nanometers to millimeters.\nAnswer: 0.6515548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.006195 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 15? (a) -2\/9 (b) 3 (c) -1\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 1 - (-2 + 6) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -94 - -140. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 9) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 113350307 to the nearest integer?\nAnswer: 10647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 1460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m**(-24)*m**28)**(-1\/5))**(8\/9))**(42\/13) assuming m is positive.\nAnswer: m**(-448\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**3 + 6*d**2 + d + 5. Suppose 0 = -6*o - 49 + 13. Let w be l(o). Let z be w\/(2\/6) - -12. Solve 4*h - z = 11, -4*t + 30 = 2*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 252 and 3983952.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.07 - -0.27. Which is the closest to 0.5? (a) -1\/2 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 - 0. Let o = j + 3. Which is the nearest to o? (a) -1\/2 (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**3 + 3*i**2 + 6*i - 3. Let y be a(4). Suppose h - 4*c = 376, -c = 2*h - 0*h - 797. Calculate the remainder when h\/20 - (-1)\/y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*g**2 + 2713124 - 2713124 - 9*g**2.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does -656487 = -657074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -63364*k**2 - 142392*k.\nAnswer: -126728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*(y*y\/(y*y**(-1\/2)*y*y)*y)\/y)**(-47)*(y**1)**(-6))**(-6) assuming y is positive.\nAnswer: y**177","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) - -5*(sqrt(5) + -1 + sqrt(5))) + 2.\nAnswer: -3 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together 7.3 and -221632.\nAnswer: -221624.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 72223*l**3 - 3 + 43164*l**3.\nAnswer: 115387*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -6275*m**3 + 2*m**2 + 4*m - 5. Let i be j(3). What is i rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (8\/2 - -3) + -4. Solve f*i - 4 = -19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 0 + 2 = 0. Let i(y) = -9 + 9 - 15*y**z. Let l(f) be the third derivative of f**4\/12 - 2*f**2 + 18. Give l(i(n)).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 754875?\nAnswer: 3, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3592968289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 5*s, 106 = 7*z + 3*s - 27 + 11 - 86 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zinzzenizizzzi. What is prob of sequence zez?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5894 + -5897. Suppose x = -4*x + 3*d + 277, -3*x = -d - 167. Put v, x, -4 in ascending order.\nAnswer: -4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the first derivative of 2*u**5\/35 - 4*u**3\/21 + 2*u\/7 + 5. Determine w so that p(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -c - 11 = 3*z, -4*z + 0*c - 18 = 2*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the second derivative of 104*y**7\/21 - 2*y**3\/3 - 111*y**2\/2 + 2043*y. What is the second derivative of t(p) wrt p?\nAnswer: 4160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**3 + 2*q**2 - 72*q - 221. Give b(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 + -15. Let r be 1 + n\/(-2) + 2. Let b(a) = -272222*a**2 - 2*a + 4. Let u be b(r). Round u to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((126\/(-40))\/(78\/(-65)))\/((-15)\/20)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -27*a**2 + 5*a. Let l(n) = 7*n + 5*n + 20*n - 40*n + 9*n. What is m(l(f))?\nAnswer: -27*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h - 36 = -8*h. Let q be 6 - h - (0\/2)\/(-2). Is q greater than or equal to -53\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1.6 (b) -24\/11 (c) -6\/763\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 889*b + 14272. Let a be v(-16). Solve 91*t = -a*t - 417 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 - 7 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.04 or -490?\nAnswer: -490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1042 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -264*u + 6. Let o be n(4). What is o rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-159)\/1166*(42\/(-36))\/(-7)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j**3 + 2230844*j**2 - 35693920*j + 107082048 = 0. What is j?\nAnswer: -1115438, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2784 - -2725 - (-2 + -20).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 495 and 10715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 40899 = 14*j + 40899 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.9 - 0.8. Let b = 0 + s. Let v = b + -1. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 170 is divided by 48.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 12047 - 130164 = 4*m, 3*m = -3*g + 118152. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.02799979 - -0.028. Round n to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -5*p - 6. Suppose -3*x - 2*x = 20. What is the remainder when y(x) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 3:51 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1948 - -2063. What is the greatest common divisor of 125 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -15*w. Let p(k) be the second derivative of k**4\/2 - 2*k + 10. What is p(i(b))?\nAnswer: 1350*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bbh when three letters picked without replacement from {n: 1, a: 1, e: 3, h: 4, b: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:46 AM and 9:54 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9212832?\nAnswer: 2, 3, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l - 2*l - l)*(-l**3 + 0*l**3 + 4*l**3 + 4*l + 2*l**3 - 4*l + (-l + 0 + 0)*(0*l**2 - 3*l**2 + l**2) + l**2 - l**2 + 5*l**3)*(-1 + 1 + l).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 387682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 290*g - 1037. Let d be w(4). Which is greater: 116 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -3*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 407583?\nAnswer: 3, 11, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 + 4.4. Let y be 480\/(-56) - (-3 - -1). Let a = y + 48\/7. What is the third biggest value in 2, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5\/14? (a) -1\/3 (b) 3\/4 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 1. Let w(m) = -28*m + 12. Let p(b) = -24*i(b) + 2*w(b). Let x be p(-2). What is the highest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -407 divided by 2\nAnswer: -407\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -7*g**3 - 27*g**2 - g - 11. Calculate s(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 39\/968 and 91\/4231744?\nAnswer: 46549184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*z**5 - 24597*z**3 - 25019*z - 4.\nAnswer: -60*z**3 - 147582*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9 - 2. Let g(p) = 6*p**2 + 16. Let h be g(a). What is the hundreds digit of (-10)\/(-25)*(0 + h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20656 is divided by 377.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 264012?\nAnswer: 2, 3, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 146388913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*b**5 - 120*b**4 - 1198795*b**3 + 3357050*b**2 - 3117360*b + 959200 = 0.\nAnswer: -218, 4\/5, 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 15 + 15 = 0. Suppose -5*z + 5*r = 0, -2*z + g*z = 2*r - 12. Solve -3*o - z*a - 6 = 0, 3*o + o - 19 = 5*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, y: 5, b: 3}. Give prob of picking 1 b and 2 y.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:07 AM and 2:14 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 146 + -145.99999866. What is i rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 55*y**2 + 50*y + 17. Is d(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10012428?\nAnswer: 2, 3, 278123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -3*v + 0*v + 58*v**2 + 3*v. Let p(u) be the first derivative of u**2 - 55. What is p(h(g))?\nAnswer: 116*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 0.5, 8, -1\/4, 2, -1\/3, 4, 8006?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 322825.44 days to weeks.\nAnswer: 46117.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7527.000003792 - -7527. Round r to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1*(9 - -2)*2. Let q(v) = -2*v - 4. Let w be q(-6). Suppose w*x - 110 = 3*x. Calculate the highest common factor of d and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/45606 and 151\/33690?\nAnswer: 256077690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1e9714e8 - -2?\nAnswer: -1e9714e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - 7ca32?\nAnswer: -7ca37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 32, 56, 82, 110, 140, 172?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 2 + 13525*f**3 - 27954*f**3 + 14421*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**3\/5 + 755984*a**2\/5 + 7142990336*a - 428688288768\/5.\nAnswer: 4*(a - 12)*(a + 94504)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 13957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 37713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 233.99999515 - 234. What is a rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 94133.23 nanometers in millimeters?\nAnswer: 0.09413323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - r + w = 490, 0 = w. Let k be (-4)\/(-14) - (-7)\/(r\/24). Solve -2*g - k*v + 4 = 0, 3*g + 2*v - v = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-35)\/(-84))\/(256\/384)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3 + (33406\/(-1) - (-1 + 2)). What is v rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 20085113 a multiple of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 3*f = -b + 84, -5*f + 76 = -b. Suppose f*a - 184 = -1480. Let o = -85 - a. Let v(h) = h**2 + h - 2. Give v(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ogm when three letters picked without replacement from uohguumhum?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(385)\/(sqrt(11) - (1*sqrt(11)*1 - sqrt(11)))*-5)\/((sqrt(1400)*-1 - sqrt(14))\/(sqrt(54)\/sqrt(3))).\nAnswer: 15*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -518*d + 521*d - 4 + 2*d**4 + 2 + d**4 with respect to d.\nAnswer: 12*d**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -22*v - 7. Let z be q(-4). Let y = z + -407\/5. Which is the closest to y? (a) 2 (b) -1\/2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 277614 and 63729?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7279*g**2*r**3 + 699*g**2*r - 10*g*r**3 + 8*g*r**2 - 9*g*r + 8*g - r**2 wrt g.\nAnswer: 14558*r**3 + 1398*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -5 + -6*((sqrt(1900) - (-2 + sqrt(1900) + sqrt(1900))*-5) + 2 + (1*sqrt(1900) - sqrt(1900)) + -5))**2*-2.\nAnswer: -16564352 + 200640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from dyddycyddddddydc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -2*f - 5. Let y be s(-9). Let b be ((-31986)\/39)\/1 - (-2)\/y. Let k be (12 - 312)\/((-2)\/b). Round k to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-728)\/(-126) + 4\/18. Suppose 3*p - 34 = -2*s, -g*p + p = -5*s - 40. Solve -5*n + p*n = -3*f + 27, n + 5*f = 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 221\/85 + (-40)\/25. Sort -3, f, 3, -9.\nAnswer: -9, -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 18121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6\/(-5))\/(3\/75). Let a be -2 + ((-128)\/x)\/2. Let i be 2\/4 + (-7)\/6. Is a < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 184614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 - -18. Suppose -11*j = -w*j. Suppose -9*r + 4*r + 215 = j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 - -1)*893\/(-423) + (-12)\/(-54).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence seb when three letters picked without replacement from bsbssbseeb?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*k - 9*k + 2 - 4*k - 15*k - 47*k**3.\nAnswer: -47*k**3 - 24*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 393332*n + 4. Let s be r(3). What is s rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 18.955 + -19. Let b = 0.155 - y. What is the second smallest value in b, 10\/9, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -143*u = -74 + 360 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -26, -50, -90, -152, -242?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1757 + 1061. Let s = y - -698. Solve -2*b + z = -0*b - 10, s*b - 4 = -2*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/(-10) - (-4)\/10. Suppose z - 7 - 5 = y. Calculate the remainder when 46 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24\/9*3\/10)\/((-540)\/52650)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1481397 is divided by 4891?\nAnswer: 4315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*a**3 - 120821*a**2 - 2754721*a wrt a.\nAnswer: 30*a - 241642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**0\/(r\/(r\/r**(-9)))*(r\/r**(1\/3)*r)**(11\/9) assuming r is positive.\nAnswer: r**(298\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(1\/4)*t)**(-1)\/((t**(-4\/5)*t)\/(t**(-6)*t*t)) assuming t is positive.\nAnswer: t**(-109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w + 2*w + 480. Let b be ((-42)\/(-5))\/(24\/w). Let d = 107 - b. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the third derivative of x**7\/840 + 7*x**6\/40 + 441*x**5\/40 - x**4\/12 - 3*x**3\/2 - 17*x**2. Let t(o) be the second derivative of k(o). Factor t(i).\nAnswer: 3*(i + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -18182, -36377, -54572, -72767?\n\"Answer: -18195*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.3 + -12.65. Let b = 0.05 - w. Let r = 13.5 - b. What is the closest to -0.1 in -2\/17, 5, r?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -39 + (-16 - -49) + 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11922660?\nAnswer: 2, 3, 5, 22079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 507 + -469. Suppose o*a = -6*a + 70444. List the prime factors of a.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9517720 and 52399.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -261428040 divided by -100164.\nAnswer: 2610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is ((2000\/225)\/(-40)*12\/(-8)*-1)\/10?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bll when three letters picked without replacement from bbllblllbbbllllbbbb?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 320 (base 7) to base 6\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**1)**(-15\/4))**(-43) assuming w is positive.\nAnswer: w**(645\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 23\/2 + (-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1\/8))**(-20)*s*s**(4\/7)*s\/(s\/(s*s**(3\/11)*s)) assuming s is positive.\nAnswer: s**(977\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -146220, 2.\nAnswer: -146220, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1232, -1120, -962, -758, -508, -212, 130?\n\"Answer: 23*f**2 + 43*f - 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 183067406 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/4)\/(70\/28).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -20*l**3 + 117*l**2 - 17*l + 206. What is n(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 - y**2 - y - 29. Let j be q(0). Let k = -20 - j. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/8*(-180)\/2610*-4.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 368855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u - u - 2 - 2*u)*(4 - 3 - 3)*(-6 + 2 + 18).\nAnswer: 84*u + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 153*f = 95*f + 248646. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 38696*k**2 + 56391*k + 2 wrt k.\nAnswer: 77392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.06 - 1.94. Put -4, -3, -0.3, c in descending order.\nAnswer: -0.3, c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.2 - 0.1. Let v = 0 + l. Let r = 0.01 - -3.99. What is the nearest to -1 in r, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*y**3 - 21*y + 0*y**3 - 2*y**4 + 23*y + 9*y**4 in the form a*y**4 + q*y**2 + s*y**3 + f*y + j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 102117309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.018 * 0.1.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be 12\/3 - (0 + 2). Suppose 0 = -0*w - t*w + 28. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4233 and 73865.\nAnswer: 312670545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 318720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 17*i**2 + 102*i + 7. Let y be f(-6). Calculate the highest common divisor of y and 29610.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 194179.1t?\nAnswer: 194179100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:50 PM and 1:47 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2fa759 - -7?\nAnswer: 2fa760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 3*f. Let w(a) = -33027*a**2. Determine n(w(c)).\nAnswer: -99081*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4 - -11) + -5 + (-2 - -676). Let h = f - 340. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 + -16360?\nAnswer: -16361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 348*o**2 + o + 2. What is the remainder when c(-1) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -n**2*x**4 - 122307383*n**2*x**2 + 9278*n**2*x - 2*n + 141*x wrt x.\nAnswer: -12*n**2*x**2 - 244614766*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -2*p + 29. Give w(-14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d**2 - 4 - 27*d**3 + 3*d**2 + 10*d**3 + 42*d**3 - 4*d**2 to the form t + a*d + x*d**3 + s*d**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 16*y**5\/21 + 44*y**4\/21 + 10*y**3\/21 - 40*y**2\/21 - 26*y\/21 - 4\/21 = 0. Calculate y.\nAnswer: -2, -1, -1\/2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 10) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 697634968 to the power of 1\/3, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/16683000 and 101\/533856.\nAnswer: 66732000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -11.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5223996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1288? (a) 3\/5 (b) -0.17 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 + 7)*1\/2. Suppose 4*c = 2*h + 2, 1 = -d*c + h - 2*h. Let n be (-3)\/4*-1*4 - 0. Solve 0 = -c*r + r + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 214, 286, 468, 814, 1378, 2214?\nAnswer: 3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1126059244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 0 - 3)*(2*n + 2 - 2) - 4*n + 0*n - n + n - 2 + 2 + 3*n - n - n + (0 + 1 + 1)*(-2*n + 5*n - 5*n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*c**3*z**3 - 2*c**3 - 8*c**2 - 120*z**2 + 63*z wrt z?\nAnswer: 30*c**3*z - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1*1\/4*-1. Let j = 17 - 15. Let y be (-120)\/189 + 138\/161. Which is the nearest to g? (a) y (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 31 + 7*j - 31. Let l(c) = -2*c. Give o(l(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 24*a - 14. Let b(k) = 8*k - 4. Let n(z) = -10*b(z) + 3*h(z). Give n(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*h - 208 = -4121 - 526 - 729 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - (2 + -5))*1. Let w(c) be the first derivative of 0*c + 0*c**3 + 7\/5*c**v + 3 + 0*c**4 - 1\/2*c**2. Find the second derivative of w(t) wrt t.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s + 3. Let o(h) = 3*h - 7. Let j be o(6). Suppose -27 = 5*v + 13. Let t = j + v. Calculate b(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*l - 5. Let f be 5\/l*(-6)\/(-15). Solve -s + 2*s = f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1042 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 39 - 38.99999961. What is j rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9168293000 to the nearest one million.\nAnswer: -9168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (146\/730)\/((-2)\/30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 3*v**3 - v**2 - 6*v. Let l(w) = -3*w**3 + w**2 + 5*w. Give -6*l(k) - 5*x(k).\nAnswer: 3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 80, 60, 40, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*p**2 + 2*p**3 + 215*p - 134*p + 16*p**2 - 234*p - 93*p.\nAnswer: 2*p**3 - 246*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 77631 (base 9) in base 15?\nAnswer: 10414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m + i + 194 = 0, 0 = -45*m + 68*m + 4*i + 890 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*g + 21 = 62*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 757*l**2 + 2*l + 2. Let d(x) = -758*x**2 - 2*x - 2. Let h(t) = 4*b(t) + 3*d(t). Let v be h(-1). Suppose -v = z - 3*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -958237*a**4 + 842*a**2 + 897?\nAnswer: -22997688*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 divided by -3619662.\nAnswer: 35\/3619662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-7)\/(n\/(n*(((n\/n**(-7))\/n)\/n)\/n)))\/(n**2)**(-28)*(n**(1\/4)\/(n**3*n*n))\/(n**(-5\/6)*n**(1\/5)\/n) assuming n is positive.\nAnswer: n**(3053\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes before 11:50 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 10111001101 (base 2) to base 16\nAnswer: 5cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9 and 892.\nAnswer: 8028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2\/17 (b) -0.5 (c) -3 (d) -41 (e) 0 (f) -93\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20500776 - 780*x + 20500776 - x**3.\nAnswer: -x**3 - 780*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.23, -5, -4, 0.5 in decreasing order.\nAnswer: 0.5, -0.23, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, c: 2, v: 3, o: 1, x: 4}. What is prob of picking 1 x, 1 v, 1 p, and 1 c?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(2 + sqrt(832) - sqrt(832)) - (sqrt(832) + 1)*3)*-2 - 2*(2*sqrt(832)*2 + 4).\nAnswer: -16*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 52\/13*(-2)\/(-40)*5. Let f be (z\/(-3))\/(1140\/540). Is f != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1151.394 - -1164.4. Let q = -17.67 - -4.67. Let y = z + q. What is y rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**1\/(s\/(s*(s\/(s**(-1)*s))\/s)))**(-2\/43) assuming s is positive.\nAnswer: s**(-2\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 217239434 from -86.\nAnswer: -217239520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -12*g**4 + 3*g**3 + 2*g**2 + 7. Let q(i) = -11*i**4 + 4*i**3 + i**2 + 6. Let x(n) = -6*b(n) + 7*q(n). Let x(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 9 + s**3 + 9 - 4 to the form g + a*s + u*s**3 + w*s**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of -u**4\/6 - 5*u**3\/6 - 3*u**2 - 22*u - 1. Let i be f(-1). Put 4, 3, 18, i in decreasing order.\nAnswer: 18, 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (434\/8)\/((-8)\/32). Let a = 455 + l. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 4*o**3 + 57*o**2. Let p(v) = 2*v**3 + 29*v**2. Calculate 7*p(g) - 4*z(g).\nAnswer: -2*g**3 - 25*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.0023 + 0.8977. Does n = -0.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 620 or -5.5?\nAnswer: 620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -553345 divided by 1\nAnswer: -553345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 149927489?\nAnswer: 977, 153457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**22)**(-13)\/((c\/(c*(c\/(c*c\/(c\/((c*c**(-1\/38)*c)\/c*c*c))))\/c*c*c))\/(c*c*c**(-18))) assuming c is positive.\nAnswer: c**(-11551\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 10*v - 160 = 0. Suppose -2*h + 2 = -2. What is the highest common divisor of h and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 417075.4 - 357\nAnswer: 416718.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**2 + 8*x + 2 - x**2 - 5*x**3 - 5*x. Let w(n) = -n**3 - 3 - 7*n + 5*n**2 + 12 + 12*n**3 - 14. Give 7*a(u) + 3*w(u).\nAnswer: -2*u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-238)\/105)\/(1441\/(-43230)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 57835 plus -3?\nAnswer: 57832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29 + 24 - 54 - 2*t**3.\nAnswer: -2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -23214 - 41853 = -1587*k for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 69\/152470?\nAnswer: 69\/152470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 10420 (base 5) in base 2?\nAnswer: 1011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 172707 is divided by 86315.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 5, w: 1, u: 3, o: 6, e: 3}. Give prob of sequence ouw.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -12591, -25182, -37773, -50364, -62955?\n\"Answer: -12591*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 3*q + 19. Give x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-266 - -276) + 9 - (-2 + 3 - 134).\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 34935691 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -4*n**2\/7 + 63324*n\/7 + 63328\/7 = 0.\nAnswer: -1, 15832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 44322 divided by -249?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17441383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 2\/3 (c) 16.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.2*0.0225\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2094 - 2162 = -14*d. Let c = 322 - d. Solve -4*l - 2 + c = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 0 - (-10)\/(-12))\/(125972\/(-4139080)) - -5.\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 + 11*j**2 - 10*j + 36. Let a be n(10). What is the greatest common factor of a and 168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 310761177, 310761175, 310761173, 310761171, 310761169, 310761167?\n\"Answer: -2*m + 310761179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**0)**(-2\/73)*t*t**(-3\/2)*t*t*t*t\/((t**(-5\/4)*t)\/t)*t*t)\/(t**(-6)\/t*t**5*(t**(-1))**(4\/13)) assuming t is positive.\nAnswer: t**(471\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the second derivative of 2*w**7\/105 + 5*w**4\/12 - w**3\/2 - 10*w. Let k(o) be the second derivative of c(o). What is the derivative of k(z) wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(77)\/(sqrt(7) + 2*sqrt(7)) - sqrt(11)) + (0 + sqrt(1100))*-4.\nAnswer: -122*sqrt(11)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 30110 - -11?\nAnswer: 30121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2857 or 3024?\nAnswer: 2857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30895440 divided by 257462.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p = -0*p + 4*p. Let j be ((-6)\/(-8))\/(1\/4). Sort 4, j, p.\nAnswer: p, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, c: 2, u: 4, p: 4, q: 1, a: 2}. Give prob of sequence cqu.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1514365 + -4?\nAnswer: -1514402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes before 9:30 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 99707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together -4 and -8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -12\/209 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -x + 5*x - 3*o, 0 = -2*x - 5*o + 9. Solve -5*u = -4*i + 8 - 36, -2*i = -x*u + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-15 + 288\/19).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 + 7.6. Let r = -707\/1896 + -1\/474. Which is the second smallest value? (a) 1 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 16 = -b + 4, -3*b + 2*j + 55 = 0. Solve -25*h = b*h + 44 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -y + 6*y + y - 40 + 9*y + 40 + (-5*y + 5*y + y)*(-4 + 6 - 1).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1*15\/31242*3423\/5. Let m = -34\/127 - i. Is m not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 178 + -178. What is the nearest to 1\/3 in a, 0.5, -0.12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(396) - (sqrt(396) + 3) - sqrt(396)))**2 + (1 + -4 + sqrt(396))**2 + (((sqrt(396) - 1*sqrt(396)) + 0 + 3 + 0 + sqrt(396))*6)**2.\nAnswer: 1344*sqrt(11) + 15430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 104 - 103. Solve -x = -5*t + n + 14, -5*n = 4*t + 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*q**4 - 215*q**3 + 2510*q**2 - 7800*q.\nAnswer: 5*q*(q - 26)*(q - 12)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 0*i**2 - i - 13*i + 2*i - i**2. Let p = -16 + 5. Let q be t(p). Calculate the highest common divisor of 55 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bcoubcb. What is prob of sequence uob?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 431, 915, 1397, 1877, 2355?\n\"Answer: -z**2 + 487*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 588 + -587. Suppose 2*c + 12 = 4*x, 5*c - 5*x + i = -14. Factor -4\/5*j**3 + 0*j + 8\/5*j**4 - 4\/5*j**5 + 0 + c*j**2.\nAnswer: -4*j**3*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50915.\nAnswer: 5, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k + 68 = -b + 62, 0 = -k + 4*b + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**3 - 6*f**2 - 2*f - 9. Let z be y(-6). Let o = 2 + 0. Suppose o = z*q + 5. Which is greater: q or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -4*b - 5*b**2 - 5*b**3 - 3*b**3 + 3*b**3 + b. Let o be p(-3). What is the greatest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/1419 and (2\/1548 + 0)\/(6\/(-236)).\nAnswer: 12771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 5, -36, 3\/4 in decreasing order.\nAnswer: 5, 3\/4, -7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 24414684 and 18?\nAnswer: 73244052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 22210122 (base 3) to base 8\nAnswer: 14420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22\/3 or 9537\/364?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1484158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 306929267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 45 and 1395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, -4, -119006 in descending order.\nAnswer: -4, -10, -119006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be 23\/6 + 280\/(-120). Let 6*w**5 - 15\/2*w + 3\/2 + b*w**3 + 21\/2*w**2 - 12*w**4 = 0. Calculate w.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - 2 - (-72)\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -2, 0.1, -1008, -1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1 - 2)*1*-1. Let r = 132 + -132. Suppose -n = n - 4. Solve -4*t - 12 = u*s, r = 4*t - n*s + s - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1257 * 3.21.\nAnswer: -4034.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2281 + 15889\/7. Let c = 76\/7 + h. Is c not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = 3*x + 4*q - 7, 10*x - 3*q = 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - -2b1a56b?\nAnswer: 2b1a56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddkxqklw. What is prob of sequence wxld?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 83035066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 53384 and 1334600.\nAnswer: 1334600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1395 and 341?\nAnswer: 15345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -2153203 (base 6) in base 12?\nAnswer: -52803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1550\/(-279) + (-8)\/18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -407.5 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-27)\/(-15) - 1) + (2 - 4)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*v + 63*v - 18 = -2*s, 2*s = 3*v + 42 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 435074 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -289412, -1156648, -2602048, -4625618, -7227364, -10407292?\n\"Answer: -p**3 - 289076*p**2 - p - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*h + 178 = -3*t, 75*t = -4*h + 30*t + 40*t - 246 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-1 + 0)\/(-3 - (-250)\/85).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8230.\nAnswer: 2, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16591, -16569, -16539, -16507, -16479?\nAnswer: -16461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -76 + 24*w**2 + 3*w + 44*w**2 - 2*w - 65*w**2 in the form a*w**2 + v + s*w and give v.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 2*a**3 + 5*a**2 - 5*a - 10. What are the prime factors of y(4)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5)\/(-3)*((-140)\/75 + 2). Let o = -95 + 92. Which is the second smallest value? (a) 0 (b) v (c) -1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3968473 to the nearest integer?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*t + 88*t - 26*t - 1586 = -16*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 107 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -1964 by 173342.\nAnswer: -982\/86671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 388 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -123 + 168 - (-2425)\/(-55)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**2\/w**0)\/(w**(1\/3))**(2\/23)*(w**(1\/4)\/w*w**(-4\/5))\/((w\/(w\/(w**(-4\/5)\/w*w)))\/((w\/w**1)\/w)) assuming w is positive.\nAnswer: w**(61\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 6042*l = 5919*l + 1845 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 919351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 179 - 183. Let x = 0.9 + -0.9. Let l = 0.1 - x. What is the second smallest value in l, 2, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 117.963 + -118. Let r = p - 7.163. Let h = r - -7.3. What is the second smallest value in h, 0.5, 0, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 2437505 and 788.\nAnswer: 2438293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1412216 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -24, -47, -70, -93, -116, -139?\n\"Answer: -23*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 16 divided by -2265?\nAnswer: -16\/2265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) 4 (c) -0.2 (d) 27 (e) -6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6800*n - 249 + 124 - 7872*n + 125.\nAnswer: -14672*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*a + 262569416750 - 262569416750.\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18785*h**2 + 11687*h**2 - 29398*h**2 - 5188*h**2.\nAnswer: -41684*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + a = -h + 273, a + 3*h = -154. Let r = -10 - -520. Let s = r + a. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2.24 - 8.06. Let c = 8 - s. Let x = -15.12 + c. What is x rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 2*o + 6 = 0. Suppose -4*p - o*k = -1176, 3*p - 313 = -3*k + 572. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*x**3 - 657*x + 288*x + 263*x**2 + 368*x to the form j*x**3 + k*x**2 + c + m*x and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.12 - -0.28. What is the third smallest value in u, 14\/9, 0.2?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = 6*n - 2*n. Suppose 35 = 4*m - 1. Calculate the remainder when n is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, k: 3, o: 7, i: 3}. Give prob of picking 1 k and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 49*z - 5. Let y(r) = -220*r + 22. Calculate 22*t(a) + 5*y(a).\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*r - 2*r + 3*r**3 + 6*r wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vxxrhlxvvxlxvlvl. Give prob of picking 1 x and 2 v.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 67, 71, 77, 85, 95?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26833 is divided by 1213.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -50145 or -48877?\nAnswer: -48877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m = 22*n - 26*n + 4, -m = -3*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 343*h + 103*h = -762*h - 972*h + 165680 for h.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**3 + 4*s**2 + 10*s - 3. Calculate t(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2, -20, -62, -134, -242, -392, -590?\n\"Answer: -i**3 - 6*i**2 + 7*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 8:01 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -92 (base 16) in base 15?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 952602 or 952601?\nAnswer: 952602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = -3*b + 9144128, g - b = -2*b + 2286032. Suppose -1213968 = 5*i + g. What is i rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3 - -2.9. Let o = -5 + 13\/2. Let p = -0.1 - 0. What is the closest to d in o, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(-18)*a*a\/(a*a**(-2)\/a*a))\/(a**32\/(a\/(a\/(a**(2\/15)*a))*a)) assuming a is positive.\nAnswer: a**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 221 - 472. Let t = 301.5 + y. Let o = -50.50423 + t. What is o rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**4\/m**8)**12*(m\/m**(2\/7))**33\/(m*m**(-1))**(2\/51) assuming m is positive.\nAnswer: m**(-171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**3 - 3*g**2 - 4*g + 5. Let l be a(4). Suppose 11 - l - 2*m**3 + 12*m**2 + 0*m**3 + 10 - 24*m = 0. What is m?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1683 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (144\/7560)\/((-1)\/(-15)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -38 - -63. Let l = v + -17. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z + 46 = -26. Let o be 0\/(z\/((-4)\/(-1))). What is the third derivative of 18*x**2 + x**6 - 16*x**6 + o*x**2 + 14*x**2 wrt x?\nAnswer: -1800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7129 divide 94859664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -553 - -557. What is the third derivative of 37*v**4 - 5 + 121*v**x + 5 - 5 + 9*v**2 wrt v?\nAnswer: 3792*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, 0, 1, 178, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -457*l*r**2 - 233122*l*r - 2*l + 4712*r**2 + 17*r wrt r?\nAnswer: -914*l + 9424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:02 AM and 8:05 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be 18\/4*8\/3. Let p = b + -6. Is -2*(-2 - 369\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 90 - -64. Suppose -7*x + 462 = -q. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -109 - 12 - 23674*d**2 + 21 + 23678*d**2.\nAnswer: 4*(d - 5)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 78045 and 20554.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1072\/(-6))\/((-32)\/(-240)). Let q be k\/(-100) - 2\/5. Solve q*p = 3*p + 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 924, 1822, 3308, 5382, 8044?\n\"Answer: 294*c**2 + 16*c + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 535 divide 3955255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 479225 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 + 10*k - 1. Let t(o) = o - 1. Let w be t(6). Suppose 14 = w*r - 31. Let p be h(r). Calculate the highest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(192) + sqrt(192) + -4 - (sqrt(3) + (-1*sqrt(3))**2)*-4 - ((-2*sqrt(192) + sqrt(192))**2*-6 + sqrt(192) + -3*(-1 + sqrt(192))).\nAnswer: 36*sqrt(3) + 1157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -66, 2.\nAnswer: -66, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -206530 (base 10) in base 9?\nAnswer: -344267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1831\/6 + 623\/2. Let n = y + -6. Calculate the common denominator of 11\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k**2 + 3*k**2 - 5*k**2)*(25 - 24 - 60)*(-1 + 5 - 3)*(-2*k - 4*k + 4*k).\nAnswer: 118*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.02, -1\/6, 0.1, 2\/21, 0?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 22 = 3*y - 5*y, c + y - 17 = 0. Suppose -5*g + 6 = 5*u - 4, 4*g = -2*u - 6. Calculate the highest common divisor of c and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-4)*2*(-34 - -4). Does 25 divide 1202\/5*q\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = -4*y + 704. Let v be 2*(3\/2)\/1. Suppose 4*f + 423 + 144 = v*s, -3*f + y = s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -g - 530 - 516 + 1060 as h*g + b and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 3, i: 2, p: 10, g: 4}. What is prob of sequence pgc?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5*15\/150)\/((-46)\/24 + 1). Find y, given that -18\/11*y**4 - 6\/11*y**2 + q*y**5 + 0*y + 0 + 18\/11*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113205959 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 2 p when three letters picked without replacement from {e: 1, j: 1, p: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.27 - -1.66. Round s to 2 decimal places.\nAnswer: 1.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 476 and 11736358?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-24)\/(-4))\/36)\/(((-92)\/456)\/(-23)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*i**2 - 15*i**2 - 2*i**2 - 10*i**2 + 21*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the first derivative of -3102*z**2 - 1328*z + 4062. What is the first derivative of h(k) wrt k?\nAnswer: -6204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111111 + -100010000110?\nAnswer: -100011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (50\/35)\/((-24)\/(-70)) and -89\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40 is divided by (-272)\/(-20) + 4\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3191619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -48 - 78607?\nAnswer: -78656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27565195 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.3 - 0.5. Which is the nearest to 1? (a) 1\/7 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*w - 8 = 2*w. Find the third derivative of -q**2 - w*q**4 + 11*q**5 + 2*q**4 - 12*q**5 wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 29, 59, 105, 173, 269, 399, 569?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 6, d: 12}. What is prob of sequence gggd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -17, -4, 0, -19 in ascending order.\nAnswer: -19, -17, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r + 4. Let t be u(0). Let s be (16\/6)\/4*3. Factor t*m**2 + 2*m**s + 14*m + 4 + 4*m**2.\nAnswer: 2*(m + 1)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 9 or 12076856?\nAnswer: 12076856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0349 + -44.\nAnswer: -43.9651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + 7. Let y = 0.117 - 0.317. Which is the smallest value? (a) z (b) 1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(84) - sqrt(84))*-2)\/(sqrt(12)\/(sqrt(6)*-2)))\/(-3*sqrt(24)\/(sqrt(12)\/sqrt(147))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -2*j - 3. Let l be -1 + j - -1*2. Find the second derivative of 0*f**4 + 5*f - l*f**4 - 4*f wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(343) + -5*(sqrt(343) - (0 + sqrt(343))).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00033396 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -663*y - 7840 = 2768 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 469768?\nAnswer: 2, 13, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and -3\/46 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be 24\/16*4\/3093. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8\/579 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-28)\/(-21)*2\/(-8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 278 and 66895974.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 69036*j**3*u**3*w**3 - 103*j**3*u**3*w + 70*j**2*u**3*w - 2*j**2*u**2*w**2 - 218*j**2*w**2 - 52*u*w**3 wrt j?\nAnswer: 414216*u**3*w**3 - 618*u**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*d**3 + 15*d**3 - 4*d**3 + (d**2 - d**2 - 9*d**2)*(-d + 3*d - 4*d)*(-2 - 5 + 3) to c*d**3 + h + t*d + g*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 419 - 419.6076. What is h rounded to 2 dps?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -3*l**3\/2 - 1019849*l**2\/2 + 169975*l = 0.\nAnswer: -339950, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -5*o + 31. Let q be m(5). Suppose -3*n + p + 28 = q*p, -5*p + 16 = n. Put 2, 1, n, -4 in descending order.\nAnswer: n, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 63440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(448) + sqrt(448)*-2 + -2 - ((sqrt(448) - (sqrt(448) + -1) - sqrt(448)) + -2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:19 AM and 2:46 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 18163809 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 464 and 41722532?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - 4*f = 153, -2314799*q + 2314800*q - 4*f = 123 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (108\/(-14))\/(3\/(-504)). What is the highest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5 + 12844\/(-364)*(-2)\/(-14). Is x >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 29 + -29.4. What is the second smallest value in 2\/9, -4\/3, j, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes after 1:22 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 463795 and 10028.\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -80 + 80 - 9*a**2 + 9*a**5 wrt a.\nAnswer: 540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(-1)*7\/(-77)*-11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33687 is divided by 660.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(45) + 1 + -3))**2*-6.\nAnswer: -10584 + 2592*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*r + 28*r - 5 = 0. Put -6, -5, r in descending order.\nAnswer: r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (188*n + 256*n - 48*n)*(4 + 1 - 3) - 2 + 2 + n + (-3 + 5 - 3)*(2*n + n - n) - 5*n + 2*n + n.\nAnswer: 789*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + 935*y - 10 = 937*y, 0 = -4*y - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10111110 - -100?\nAnswer: 11000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -14300340 + 10?\nAnswer: -14300330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -634, -635, -638, -643, -650, -659, -670?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 17 = 33, 3*q + 5*c - 20 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 119.1 and 0.6.\nAnswer: 71.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-18)\/21)\/(2\/(-7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 289*39\/3 - -3.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0.5, 2, 1\/386, -52, 0, 1\/3 in descending order.\nAnswer: 3, 2, 0.5, 1\/3, 1\/386, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 2*z**3 + 10*z**2 - 63. Give i(-7).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(500)*1*1*-3 - (-5 + (sqrt(720) + sqrt(5) - (sqrt(55) + sqrt(55) + (1*sqrt(55) - sqrt(55)))\/sqrt(11))).\nAnswer: 5 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + (-2*sqrt(19))**2)*6 + 3.\nAnswer: 6*sqrt(19) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 - -46?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*d**4 - 7*d**4 + d**4 + 2*d**4 - 1 + 1 - 2*d**4 - 4 + 4 + (-2*d + 2*d + 2*d)*(-1 + 1 + 2*d**3) + d**4 - 5*d**4 - d**4.\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 339428.1 micrograms in nanograms?\nAnswer: 339428100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.6 + 1.52. Let q = r - 0.92. Let j = 0.2 + 0. What is the closest to j in q, -4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2667919 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, v: 4, i: 6, z: 3}. What is prob of sequence kv?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 0*p + 25 = 0. Find the common denominator of (-2)\/p - (-2365)\/(-100) and 2\/6 - (-118)\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1971 - 3021. Let p be (-14748)\/(-5) - 15\/(450\/(-12)). Let m = p + q. Round m to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 675698735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4113 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-three fifths of a millennium in years?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 347 (base 16) to base 4.\nAnswer: 31013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1119244 is divided by 846?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + 3*f - 38 = 4*i, -3*f + 3*i + 33 = 0. Let z(t) = -t + 4. Let r be z(-4). Let l = r - f. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 684456386 to the nearest integer?\nAnswer: 26162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 23718 and 439386?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4592 divided by -7.\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13641084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6421*a + 16147*a + 1474*a + 12324*a.\nAnswer: 36366*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 + 0 + (4 - 6) - -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the second derivative of 0 + 17\/6*i**3 + 6*i**2 - 14*i. Is l(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -5 (c) -15\/10014272\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(36) + sqrt(36) + (-3*sqrt(36) - sqrt(36) - sqrt(36))*-6)\/(sqrt(588) + 2*sqrt(588) + sqrt(588) - sqrt(12)).\nAnswer: 32*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 5*a + 6363 = 0. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 5*o + 35 = 7*t, 0 = 5*t + 5*o - 55. Let u = -6 + t. Suppose 0 = u*m + m - 80. Solve 3*w + 2*w = -m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w**4 + 3*w**4 - 3*w**4 + (3 - 3 + 2)*(w**4 - w**4 - 2*w**4) + w**4 + 2*w**4 - 4*w**4 + w**3 - 1991*w - 2*w**3 + w**4 + 2000*w + 1.\nAnswer: -6*w**4 - w**3 + 9*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.86 - -0.14. Let h = z + -2.07. Let o = 0.06 - h. Round o to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15669533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-70608)\/(-144) - 2\/6.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-48)\/(-8) - -2) + (-165)\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -q**2 + 325184*q - 26436158464 = 0. Calculate q.\nAnswer: 162592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -5*r + 34, -2*k - 23 - 3 = -3*r. Let j(v) = -18*v + 35*v - r*v. Let m = 19 + -20. Calculate j(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 91.51615 tonnes in milligrams?\nAnswer: 91516150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/11 and 163\/294?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + j = 4, -h - 26 + 34 = 2*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -30*(870\/100)\/(-29)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 93 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 + 3*q - 4. Determine u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2221, -4443, -6665, -8887?\nAnswer: -11109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 3 f when four letters picked without replacement from {f: 3, v: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1536 divided by -605?\nAnswer: -1536\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 2 = -u. Suppose -u*d - 19 = -135. Calculate the remainder when d is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.15 + 0.16. Let d = 1.309274 - i. What is d rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is g in 2*g**2\/3 + 2*g\/3 - 4 = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 28497\/2 or 14250?\nAnswer: 28497\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 + 3.7. Let g = 0.18 + 8.82. Let o = 5 - g. What is the second biggest value in -1\/2, o, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4355862 divided by -5?\nAnswer: -4355862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 1:07 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z*z*z**(5\/4)\/z)\/((z\/(z\/(z*z*z\/z**(-3))))\/z))**(-22) assuming z is positive.\nAnswer: z**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 238, 231, 220, 205, 186, 163, 136?\n\"Answer: -2*n**2 - n + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 27062 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 0 = -20*n. Sort n, 6, 5 in decreasing order.\nAnswer: 6, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.27 + 1.3. Let r = d - 0.0299968. What is r rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*l**3 - 312251*l**2 - 40*l + 4588 wrt l?\nAnswer: -18*l - 624502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10.29999936 - -10.3. What is r rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 3*(sqrt(28) + sqrt(7))**2.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -24*d**3 - 3*d**2 + 3?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -107*y = -8*y - 1089 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -408.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, -5\/3, -1, 562, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 3*x + 7. Let s be d(-7). Let y = s + 14. Solve -6*r + 5*r = y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -887*p - 880*p + 8*p**3 - 89*p**2 + 1765*p to i*p + m*p**3 + c*p**2 + o and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38571062.\nAnswer: 2, 17, 1134443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 193.3 - 36.3. Let u = i - 154. Which is the third biggest value? (a) 1\/2 (b) -1\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -49033 bigger than -49070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**2 - o - 13. What is d(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-31)\/(-62)*(-24)\/(-180)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - w = 2*k, 2*k + 3*w = -5. Suppose -k*v = 3*s - 15, 3*v + 0 = -5*s + 25. Solve -3\/2*g**4 + 0*g + 0 + 1\/2*g**2 + g**s + 0*g**3 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*t + 129 - 39. Let o = -0.2 + 0.6. Which is the closest to 4? (a) t (b) o (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -472 + 499. Let m(c) = c**3 - 2*c**2 - 11*c + 3. Let z be m(6). What is the greatest common divisor of x and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1474.1 + 1472. Suppose -3*o = 2*d - 8, d - 2*d + 4 = -3*o. Sort -1, h, d in decreasing order.\nAnswer: d, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2685643007?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 + 41*y**2 + 7*y + 35. Is h(-40) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -0*z + 4*k, -3*z + 9 = 3*k. Suppose -z*o + 54 = -3*o. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes after 12:38 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes after 4:59 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -3*b**2 + 350868*b + 350871 = 0. Calculate b.\nAnswer: -1, 116957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, 1\/2, 1\/15, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 77eb0 (base 15) to base 16.\nAnswer: 5d183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 13, 65, 141, 235, 341, 453?\n\"Answer: -t**3 + 18*t**2 + 5*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 4*x**3\/5 - 3944428*x**2\/5 + 972495759004*x\/5 - 8750864410596 = 0.\nAnswer: 45, 493031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -3*y - 2*b, y + 4*y = 4*b - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10.7 + 6.7. Suppose -w + 3*o = -6, 3*w = w + 2*o + 8. Let s(m) = m + 1. Let j be s(w). What is the closest to -4\/7 in j, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -24*h**2 + 2*h - 2. Determine i(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -4 - 3*s + 2 + 5*s + (-3 - 1 - 1)*(-2 + s + 2) as b*s + t and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 59 - 89. Let t = z - -30.4. Let h = -0.3999869 + t. Round h to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - (-8 - -7)) + (-7 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 6 - 16, 2*l - 14 = -2*f. Let u = -1 + l. What is the third derivative of u*r - 4*r + r**2 + 0*r + 4*r**6 wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p - 771 = -765, 4*h + 2*p = 4*p - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 AM and 5:39 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**1\/v*v\/(v\/(v*v**1*v)))\/(v**(-3\/4)\/(v\/((v*v**(-8)\/v)\/v*v))) assuming v is positive.\nAnswer: v**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -100*f - 1798 - 1793 - 1568 + 1259 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b + 23 + 2. Suppose f + m + m = 0, -12 = -3*f - 2*m. Let s(u) = u**3 - 7*u**2 + 7*u - 6. Let q be s(f). Put 3, b, q in decreasing order.\nAnswer: 3, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 24377, 55953, 94731, 140711, 193893?\nAnswer: 254277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 3*h + 4)*((0*h + 3*h + 0*h)*(-1 - 1 + 0) - 3*h + 2*h + 2*h - 2411 + 166*h + 2411).\nAnswer: 483*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 23 + -23.1. Which is the second smallest value? (a) p (b) -3\/8 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 3 + 7)*(-2 + 2 + 2*m)*(-15 + 2 - 4) to the form j*m + w and give j.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**3 + 13*g**2 + 12*g + 4. What is p(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * -6862466.\nAnswer: 686246.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -304.471 and 0.4.\nAnswer: -121.7884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -181 - -183. Let k = 595.4 - 595. Which is the nearest to -0.1? (a) -2\/5 (b) k (c) z (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 269866863 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18958, 18949, 18934, 18913, 18886, 18853?\nAnswer: 18814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -11*g**2*v**4 - 2*g**2*v**2 - 630*g*v**2 + 229*v**4 wrt v.\nAnswer: -264*g**2*v + 5496*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-62538)\/(-63) + (70\/(-15) - -4). Calculate the highest common divisor of o and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*s**2 + 5 + 3 + 3*s**2 + 3*s**2 wrt s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -k + 2, 3*y + 0*k = -3*k + 24. Solve 2*h - 5 = y*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 2*a + 10. Let k = -166 - -160. What is l(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -c**2 + 2*c**2 - 2*c**2 + (c + 3 - 3)*(-c + c + 2*c) - 24*c**2 + 5*c**2 + 10*c**2 + c**2 - 1 + 1 + (3 - 3 - 2*c)*(4 - 2*c - 4).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 14 = 2. Let m be z - 1 - 2\/2. What is the third derivative of m*w**2 + 12*w**4 - 3*w**5 - 12*w**4 wrt w?\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j - 12. Let n be p(-15). Suppose -3*z - 3*a + 114 = 0, n*a = -5*z + 4*z + 40. Calculate the smallest common multiple of z and -2 - -10*1 - 0.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 118729, 118739, 118763, 118807, 118877?\nAnswer: 118979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*j + 5*a - 3, 4*j + 7 = a + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 22 + -13. Let l be 1\/(-3) - (-21)\/x. Find the second derivative of 8*c - 2*c**l - 5*c**2 - c wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 2*s + 2010. Let v(d) = -5*d + 11. Calculate j(v(r)).\nAnswer: -10*r + 2032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35621 = 13*b + 9127. List the prime factors of b.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - q + 3 = -0*q, -3*u - q + 3 = 0. Suppose u*b = 3*b + 15, 0 = 2*z + 5*b - 553. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 - 1 + 2)*(3*h + h - 3*h) - 2 + 2 - 2*h + (7*h - 5*h - 25*h)*((4 + 3 - 1)*(3 + 2 - 6) - 5 + 1 + 3))*(-1 - 2 + 1).\nAnswer: -316*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/10 - (-24)\/10. Suppose -2*s - 2*g + 26 = -10, 4*g = -r*s + 32. Suppose 0 = 5*k + 5*w - s, 0 = -5*k - w + 4*w + 20. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9*(2\/(-9))\/2)\/((-2)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 17100137437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u**2 + u**2 + 0*u**2)*(3 - 3 + 2*u)*(u + 2*u - 9*u).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xcauaxxxaxcc. Give prob of picking 2 c and 1 u.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6844162, 6844158, 6844154?\nAnswer: 6844150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(99)*3 + 0 + (sqrt(33)\/sqrt(3))**2 - ((sqrt(1100)*2 + 3)**2 - (0 + (1 + sqrt(1100) - sqrt(1100)) + sqrt(1100))**2).\nAnswer: -3297 - 91*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ekkkekkk. Give prob of picking 1 k and 2 e.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4141 and 8?\nAnswer: 33128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d\/(d\/(d\/d**2))))\/d)\/d**(-3)*(d\/(d**(8\/5)*d))\/((d*(d*d\/(d**(1\/7)\/d))\/d)\/d)*d**(-8)*d*d**1*(d*d\/d**(-2))**26 assuming d is positive.\nAnswer: d**(3449\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 + 0.5. Let v = 2045 - 2045.3. What is the nearest to v in f, 0.5, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -343 + 242. Is -101 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -231 divided by -1696657\nAnswer: 231\/1696657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 138 and 621.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**3 + 28*g**2 + 4*g + 109. Let d be p(-28). Let y = -48 + 48. Which is the closest to -5? (a) y (b) -8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 450*z**3 + 3*z**2 - 4*z. Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 + 8*m**2 - 5*m - 8. Let o be f(7). Let b(y) = -y**3 + 7*y**2 - 4*y - 14. Let a be b(o). List the prime factors of (38\/a)\/(6\/(-12)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 316013 and 317108 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h**4 - 50*h**3 + 45*h**2 = 0. Calculate h.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.5 + 0.3. Let f = 11546 + -11549. Which is the nearest to f? (a) s (b) -1\/4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-115*w + 222*w - 248*w)*(-7 + 2 + 6).\nAnswer: -141*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (7 + -7) - (-4 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 421, 731, 1257, 2005, 2981, 4191, 5641?\nAnswer: 7337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 4*y + 5 = -29, 56 = 4*f - 5*y. Let x = -25 + f. List the prime factors of x\/(-8) - (-4 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 5*c - 303 + 13, 4*j = -3*c + 197. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -869, -1840, -3473, -5780, -8773, -12464?\n\"Answer: -2*c**3 - 319*c**2 - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.08 + -2.92. Let f = a + 3. Let y = 17 + -12. What is the second smallest value in f, -3, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(42)\/((sqrt(96) - sqrt(96)*-1) + sqrt(6)).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -3059, -1659, -259, 1141, 2541?\n\"Answer: 1400*l - 4459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27444185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -913*g**3 + 192*g**2 + 476*g**3 + 438*g**3 to k*g + x*g**3 + l*g**2 + h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = -3*t + 3, 35 = 9456*i - 9461*i - 5*t for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**2 + 17*o + 41. Let x be h(19). Solve -i - x*b - 7 = -b, 4*i - 5*b + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116565 at least 109344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyvyvyv. What is prob of picking 1 v and 2 y?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 12784737 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 62098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y**4 + y**4 + 7*y**4)*(-1 - 20 - 32).\nAnswer: -424*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*i**3 + i**3 - i**3)*(5*i - 4*i - 3*i)*(26 - 51 - 78)*(7 + 1 - 3) to the form h + c*i**3 + t*i**2 + q*i + z*i**4 and give z.\nAnswer: -2060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 785 = 10*m - 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/23, 3760, -4\/3?\nAnswer: 3760","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 58269164.\nAnswer: 2, 14567291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*2\/8)\/(75\/12)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 646588 is divided by 14054.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 184879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 3:35 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*b + 36*b - 56840 = 0. Suppose -7*d + 13160 = b. What are the prime factors of d?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 2023168 and -0.4.\nAnswer: 2023167.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 189941940 divided by -12\nAnswer: -15828495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -19854\/7? (a) 14 (b) -5 (c) -0.3 (d) -3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + 7 - (11 + -41).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**2 - 8*k + 2. Let q be j(-8). Suppose q*f - 9 = 17. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(63) - sqrt(7623)*-2 - (3*sqrt(9072) + sqrt(9072) - sqrt(63)))\/(-4*3*sqrt(900)*6))**2.\nAnswer: 7\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 - d**2 - 369*d - 225. Calculate s(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8413335 is divided by 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29878 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.023913 minus 0.291?\nAnswer: -0.267087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -67654, -67705, -67756, -67807, -67858?\n\"Answer: -51*k - 67603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 29*j - 9. Let n(r) = 13*r - 4. Let y(m) = -4*c(m) + 9*n(m). Let g(t) = -3*t + 3. What is y(g(q))?\nAnswer: -3*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -97*f**6 + 92*f**2 - 4?\nAnswer: -11640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = -3650*l + 3649*l - 5*m, -4*m - 18 = 5*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4445.\nAnswer: 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (838 - 711) + (-72 - -6).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 - (3 - 2) - -4. Suppose s*k - 5 = 5. Let l = 1305 - 1290. Solve -5 = k*z - l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*w**2 + 5039932*w - 5039928 = 0. What is w?\nAnswer: 1, 1259982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve r**2\/3 - r\/3 - 4 = 0 for r.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of x**8\/120 - x**6\/72 + 4*x**3\/3 - 17*x**2. Let a(y) be the first derivative of r(y). Find the third derivative of a(w) wrt w.\nAnswer: 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 777 - 90. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve w + 2*t = 4, -5262*w + 10535*w + 5*t = 5264*w + 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**2 - 16*o + 66. Let q be y(10). Suppose 2*a - 5*r + q = -3*r, -5*a + 2*r = 0. Solve -h = -3*t + 4, a*t - 3*h = -6*h - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(1\/3)\/x)**(-6\/7)*(x\/(x\/(x\/(x\/(x*x*x**(-1)*x)))))**(23\/2))\/(x**(-4\/5)*x**2)**11 assuming x is positive.\nAnswer: x**(363\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5835*r - 1426*r = 6076*r - 603*r + 1655420 for r.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*f = -2 - 11. Solve 0 = -9*g - 19 + f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 92 + (-156 - (-5 + 6))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -38, 72, 356, 898, 1782, 3092, 4912, 7326?\nAnswer: 10418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 11*w. Suppose -3*y + 74 - 15 = r, -45 = -2*y + 5*r. Let k be y\/6 - 2\/6. What is the tens digit of v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -17*x + 505. Let u be h(29). Solve -27 = 5*q - u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 9*k - 12. Let s(t) = -4*t + 5. Let g(j) = -6*d(j) - 14*s(j). Let h(u) = -u - 1. Calculate 4*g(w) + 7*h(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 3*q**2. Let s(k) = 32 + 10 + 682*k - 42. Calculate m(s(r)).\nAnswer: 1395372*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -21370088 by -2.\nAnswer: 10685044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1816 + -161549?\nAnswer: -161548.8184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.4041 times -0.4\nAnswer: -0.16164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 82 - 78. Solve -2*q = -4*q - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 - 2. Suppose -2*f - 6 = -0*f. Put x, f, -2 in ascending order.\nAnswer: f, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -101420 + 1?\nAnswer: -101415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1588 + 1590. What is the smallest value in -3, g, -33, 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 9453*v - v**3 + 3*v**2 - 5 + 6 - 9453*v - 4*v**2. Let g(i) = -6*i**3 - 3*i**2 + 6. Determine -g(j) + 3*u(j).\nAnswer: 3*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 5*x - 58 + 75 = 0, 0 = 2*m + 2*x + 4. Let o(w) = 64*w - 1. What is o(m)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 - -5617?\nAnswer: 5621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 5*q - 21 = 0, 4*v + 5*q - 12 - 16 = 0. Suppose -2*n - g = -4, 5*n + 3*g - 2 = v. Let o(r) = -3*r + 3. Determine o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9860 and 357860.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -291*s + 3078 = -1869. Let j(i) = -i**3 + 18*i**2 - 22*i + 69. Determine j(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -896 divided by 7.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 + -110001202020?\nAnswer: -110001202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 + 7732?\nAnswer: 7731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-116)\/((-27)\/9*156\/117).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 111739 and 3591.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81 = -4*v - 27. Suppose -2*s + 2*x = 48, 3*s + 42 + 30 = -5*x. Let j = s - v. Solve j*f + 3 = -4*b, 4*f = -3*b + 4 - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 PM and 3:09 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (40\/6)\/(-5)*33\/(-88).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 5 = 4. Let m be (-2 + 110\/r)*3. What is the highest common factor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 23, 3, 149, 6, -2 in decreasing order.\nAnswer: 149, 23, 6, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -4 + 5. Which is the nearest to -0.1? (a) 10 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1227.7007 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 4*r + 18. Let o be c(-4). Suppose -2*m + 2 = -o. Let u(b) = -b. Let q(d) = -d**3 + 4*d**2 - 5*d + 3. Let x(z) = -q(z) + 2*u(z). What is x(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12065\/944 + -684\/59. Suppose -r + 1 = 0, -5*i - 5*r - 14 = 1. Calculate the common denominator of ((-8)\/(-50))\/(i\/210) and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 2*w + 800 = 0, 40*w - 42*w = -2*a + 1594. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(1\/2))**(-28))**(-33)\/(((s\/s**(-1)*s)\/(((s*(s\/(s*((s**3\/s*s)\/s)\/s))\/s)\/s)\/s))\/((((s*s*s**(-5)*s)\/s)\/s)\/(s\/s**2))) assuming s is positive.\nAnswer: s**1377","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7137?\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.066, 0.3, -5\/2, -1 in increasing order.\nAnswer: -5\/2, -1, -0.066, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**2\/7 + 2893476*q\/7 - 2893480\/7.\nAnswer: 4*(q - 1)*(q + 723370)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 8*f = 3*f + 932, 3*f + 4520 = 5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 116799846 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, n: 2, t: 2, d: 2, w: 3, z: 2}. Give prob of sequence wt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 162 and 22?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6)\/4 - 3420\/24. Let z = 723\/5 + a. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.13 and 1606.638.\nAnswer: -208.86294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 + 0)*(-3 + 1 + 3)*(7607*p**2 + 21422*p**2 + 0 + 13966*p**2 + 0).\nAnswer: 85990*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.3 - 1.77. Let b = -0.28 - p. Let q = b + -1.19. What is the third smallest value in -0.2, q, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4141 is divided by 740.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-10)*(-3502)\/(-5253)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.058796 to three dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 912\/403 - 470317\/202306. What is the common denominator of 85\/16 and b?\nAnswer: 4016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -12*t + 29. Give l(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*q**2 + 466*q**2 + 77*q**2.\nAnswer: 524*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1514.5572 rounded to 0 decimal places?\nAnswer: -1515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -41*a**2*f*v - 2*a**2*f - 12590*a**2 - 2*a*f*v + 151*a*f + 21*a - 23*f*v - 3*v wrt a?\nAnswer: -82*f*v - 4*f - 25180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-23)\/(-5) + 9\/(-15). Suppose 3*m - 4*k = 2*m - 2, -m - s*k = -22. Let n = m + -6. Solve n*a = 3*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 + -9. Let j be -5 + 3 + 0 + -3. Let o = 0 + j. Do o and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pg when two letters picked without replacement from fgfpgffamgyf?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 73634 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(1\/4))**41*n**2\/n**(-1\/5)*(n**(-2\/7)\/n**(-4))\/((n\/n**0*n)\/n)**(8\/13) assuming n is positive.\nAnswer: n**(28299\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 20.424813 microseconds in minutes?\nAnswer: 0.00000034041355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 261\/(-116)*((-13)\/3 + -1). Calculate the highest common factor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 401434240 (base 5) to base 6.\nAnswer: 54051154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69*l + 2090 = 703*l + 273*l. Solve 2\/3*f**3 - 14\/3*f**l + 2\/3*f**4 + 4 - 2\/3*f = 0 for f.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*s - 7143 + 7143 - 13*s**2 as q*s + x + b*s**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p = -13*v + 8*v - 10, 0 = 4*p + 4*v + 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 94286114 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 4166*x + 4170*x - 8327*x - d - d, -2*d = 4*x - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 - 7. Let n be 57\/(h - 0) + 3. Suppose 4*u + 4*t = 3*t + 18, -t = -4*u + n. Sort -3\/7, -0.5, u in decreasing order.\nAnswer: u, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/9020127 smaller than -0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 3228778 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -4*j + 10, -2*q + j - 2 = -2*j. Suppose 0 = b - 19 + 41. Let r = -22 - b. Solve r*t - 4*l = t + 4, t + 4 = q*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 - 15*u**2 + 24*u + 129. Give c(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/2))**(-4)*a**4*a**9 assuming a is positive.\nAnswer: a**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 248 = 3*o - 4*r - 3, 0 = 3*o + r - 271. List the prime factors of o.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 35 + 91 - 25 + 52*p + 55. Let v(s) = 17*s + 52. Let j(n) = -3*l(n) + 10*v(n). What is the first derivative of j(k) wrt k?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41983.7*-11.9.\nAnswer: -499606.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y + 28 - 7 = 2*r + 3*r, -20*y = -24*y - 12 + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/(-6))\/((-675)\/2000*-4)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -3 - 2 + 4 - j**2 - 2*j + 2*j**2. Let c(z) = z**2 - 2*z - 2. Let n(k) = -2*c(k) + 3*v(k). Calculate n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 9*l**3 - 2*l - 3. Let x(f) be the second derivative of 19*f**5\/20 - 5*f**3\/6 - 3*f**2 + f - 638. Determine 5*h(r) - 2*x(r).\nAnswer: 7*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 370323 is divided by 83?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -271022, -542124, -813226, -1084328, -1355430, -1626532?\nAnswer: -1897634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1.0005 - 2\nAnswer: -3.0005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8*496\/(6882\/111)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 44, 4792, 4 in ascending order.\nAnswer: 4, 44, 4792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1050566976 to the nearest integer?\nAnswer: 32412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -243 - -242. Let h(v) be the third derivative of v**6\/24 + v**5\/60 + v**4\/24 + v**3\/6 + v**2. Give h(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 602137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 10 = 3*r, -5*r + 2*r = 5*t + 25. Calculate the common denominator of (-3756)\/(-1208) + -4 + 1 + r and 51\/16.\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-18)\/(-12))\/(14\/4*60\/(-84))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -8, 3, 14, 25, 36, 47?\n\"Answer: 11*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*a**3 - 166*a**2 + 448*a - 152.\nAnswer: -2*(a - 2)*(a + 19)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**3 - 21*l**2 + 52*l + 140. Let m = -32938 - -32915. Determine j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10 and 220910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 48 + 11 = -z - 12*c, 3*z = c + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8959517 divided by 27.\nAnswer: -8959517\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -2*z**2\/5 - 54373924*z\/5 - 369565451394722\/5 = 0. What is z?\nAnswer: -13593481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 80.92492 hours to milliseconds.\nAnswer: 291329712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16262616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 + 0. Let l(w) = -w**2 + 7*w + 10. Let o be l(8). Let h be o\/7 + (-498)\/(-21). What is the greatest common factor of q and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12 - -14. Suppose -s*b = 3 - 11. Solve b*t - 8 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most -26\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -8*a. Suppose -3*b - 3 = 3, g + 5*b + 13 = 0. Let r = g - 0. Is 24 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2*1\/16 + 3445\/104. Solve l*p - 37*p - 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 + -3561113?\nAnswer: -3561114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -7*m - 132. Let g(f) = -68*f - 1351. Let p(d) = 3*g(d) - 29*l(d). Let w(y) = 27*y. What is p(w(i))?\nAnswer: -27*i - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 - 2*c**2 - 50*c - 3. Let f be i(-6). Let n be 2*1 + -19 + 17. Solve -4*u - 4*p = 0, -f = -5*u - n*p - 2*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4, -4, -3, 3\/8, 0.5, 2\/5, -3\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-8)\/6)\/4 - (-7)\/3. Suppose -4*z + x = -21, -d*x - 14 = -z - 0*x. Calculate the smallest common multiple of z and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -3*d - 69. Let o be k(-23). Let x(b) = b**3 - b**2 - b + 1. Let z be x(0). Find the first derivative of o*a - z + 7*a + a + 7 wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3141410 divided by -77.\nAnswer: 3141410\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -12094, -24365, -36636, -48907?\n\"Answer: -12271*i + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -65\/3 + 21. Are p and -53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 2 = -w + 52, -5*w - 6*p = 91 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*c + 7743*c**2 + 21*c**3 - 7743*c**2 + 3*c.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 103, 203, 293, 367, 419, 443, 433, 383?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w + 4*a - 153, -w + 3*a = 8 - 72. Let y(m) = m**3 - 6*m**2 + 2*m - 6. Let b be y(3). Let p = w + b. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1085 and 372.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 165, 327, 493, 663, 837?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*i - 4*w + 1304 = 1274, 0 = i - w + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -10011101100 (base 2) to base 16.\nAnswer: -4ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 369, 348, 315, 270?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -2*z + 19. Let x be p(3). Solve 4*b = d - 6*d - 13, 5*b + x = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -6 + 8*g + 597*g**2 + 6*g - 596*g**2 - 5. Let j be m(8). Let q = j + -135. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -1709 and -309.\nAnswer: -2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s**(-1\/8)*s*(s\/s**(-17))\/s assuming s is positive.\nAnswer: s**(151\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -6 - (-2)\/((-12)\/(-9390)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 3420*d + 80. Let y be c(16). What is y rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 36310*z**2 + 63*z. Let j(f) = -18156*f**2 - 27*f. Give 7*j(t) + 3*k(t).\nAnswer: -18162*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 23\/(-276)*14*56\/7.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144)\/(sqrt(6)\/sqrt(2)) - sqrt(48))*-3 + sqrt(240)\/(sqrt(25)\/sqrt(5)) + sqrt(48) + 1*sqrt(144)\/sqrt(3).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 65097 + -19.\nAnswer: 65078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 80 - 72. Suppose -h = 4*y, 3 = -x + 4*y + 10. Sort -0.4, -1\/4, x, -2 in ascending order.\nAnswer: -2, x, -0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.46 + -0.02. Let c = 1 + -1.12. Let h = c - y. What is h rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14506050 a multiple of 1605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 171 a factor of 466317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p - 243 = -82. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/28*-2*(-14)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -31961257, -63922536, -95883843, -127845184, -159806565, -191767992, -223729471, -255691008?\n\"Answer: -q**3 - 8*q**2 - 31961248*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 4*t = 148. Let o(w) = -30*w - 266. Let p be o(-9). Calculate the highest common factor of t and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -356352 divided by 512?\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-60)\/1050*(-3)\/(-15)*-7\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 130 + 2230?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 136*w = 29*w + 984. Let n(s) = -s**2 + s + 1. Let i(j) = 6*j**3 - 9*j**2 + 6*j + 4. Calculate w*n(p) + i(p).\nAnswer: 6*p**3 - 3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-8))\/((-12)\/(-7680)*-4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 - 11. List the prime factors of 389\/4 + 3\/(3*y).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 4 = 2*s + 4*x, 11 = 3*s + 2*x. Let o(u) = -5*u + s*u + 4*u - u. Let z(y) = y**2. Calculate o(z(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.06*5.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1253, -797, -63, 949, 2239, 3807?\nAnswer: 5653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**2 + 0*f**2 - 13 + 12. Let w(o) = 2*o**2 - 1. Let j(p) = -2*p**2 - 2*p + 2. Let l be j(-2). Calculate l*w(z) + 2*c(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5099*m**2 + 2*m**3 + 5099*m**2 - m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.01 (b) 0 (c) -31\/7 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/(-2 + 4) - -28. Solve -q - 10 = 3*d, -3*q - l = -7*q + 5*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -462501\nAnswer: -1\/462501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -38673\nAnswer: -5\/38673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2398 is divided by 76.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes after 5:06 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 79923 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-three sixths of a minute in seconds?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 8 (c) -7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the first derivative of i**4\/4 - i**3\/3 - 10. Factor f(q).\nAnswer: q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 7 or -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*i**4 + i + i**3 + i**3 - 32*i**2 + 31*i**2 to t + f*i**4 + h*i**3 + b*i + g*i**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 2\/5, 3, -28141\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*w**3 + 0*w**3 - w**3)*(4*w**2 + w**2 - 7*w**2) + (0*w**2 - w**2 + 2*w**2)*(-w**3 + 3 - 3).\nAnswer: 17*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -22*o**2 - 16. Let y(q) = -15*q**3 - 2*q**2 + q. Let f(w) = w + 5. Let l be f(-4). Let p be y(l). Let j(x) = -7*x**2 - 5. Calculate p*j(z) + 5*s(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -27\/220766 and 25\/12962118?\nAnswer: 90734826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - ((-80)\/168)\/(10\/15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the second derivative of -s**6\/120 - s**5\/10 + 5*s**4\/8 - 8*s**3\/3 - 17*s - 3. Let d(y) be the second derivative of l(y). Factor d(f).\nAnswer: -3*(f - 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13267, 26735, 40199, 53659, 67115, 80567?\nAnswer: 94015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*r - 10*r + 10. Suppose 4*b - 2*k - 303 = 359, k - 831 = -r*b. Suppose -4*l + b = 5*q, 5*l - 110 - 106 = -2*q. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -10453155 (base 6) to base 3\nAnswer: -121011112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (z - 2*z + 2*z)*(-37*z**2 + 5*z**2 - 6*z**2).\nAnswer: -38*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of 4*b**2 + 666. Let m(v) = 9*v. Calculate m(s(g)).\nAnswer: 72*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.21, -3\/4, -0.2, 4055?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**2 + 4*y - 3. Let w(g) = g. Let v be w(9). Let u be ((-44)\/(-11))\/(2\/28). Suppose v*n - 17*n - u = 0. What is z(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.05798876992 rounded to 5 dps?\nAnswer: -0.05799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2484\/17 - 18623\/357. Let f = m + -94. What is the nearest to f in -4, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -32 + 26. Let o be 1\/(-10)*72\/p. What is t in -4\/5*t**2 + 14\/5*t - o = 0?\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 677 = -252. List the prime factors of x.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 4*v. Factor -9*r**3 + 0 - 6*r**5 + 27\/2*r**4 + v*r + 3\/2*r**2.\nAnswer: -3*r**2*(r - 1)**2*(4*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**3 + 8*l**2 - l - 1. Let t be g(-8). Calculate the lowest common multiple of 18 and -1*t*90\/(-105).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -2*o - 78. Suppose -5*w - 4 - 4 = m, -4*w - 2*m - 4 = 0. What is the remainder when o is divided by w + 2 + (8 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1269624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 - -8. Suppose o*n + 3 = 5*n. Suppose -n*i + 345 = -3*f, -5*i + 4*f + 230 = -3*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 95779 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**3 - 4*s**2 + 2*s + 2. Let n be o(-5). Suppose -3*v + 8*v + 31 = -4*d, 0 = -3*v - 2*d - n. Sort v, -1, 0.5 in decreasing order.\nAnswer: 0.5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 29610030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sbb when three letters picked without replacement from bsbpspuss.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -11\/45 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 12.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -16 and 0.8?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -114 - 35?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 0, 34, 5, -5\/39 in decreasing order.\nAnswer: 34, 5, 4, 0, -5\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*s - 19 + 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the first derivative of -95*w**6\/6 + 215*w**2\/2 + 192. Find the second derivative of i(j) wrt j.\nAnswer: -1900*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**3 - t**2 - 8*t - 3. Let f be w(-6). Let b = 304 + f. List the prime factors of b.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 12) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-2*(-4*-1*sqrt(1100) + -5)**2 + -1).\nAnswer: -1600*sqrt(11) + 70502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 48 = -3*m. Let n = 1\/10379 - -134871\/581224. What is the common denominator of n and 1 + (162\/m - 1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*m + 0*m + 2*m**2 + 20*m**4 - 6*m**3 + 22*m**4 + 3*m**4 - 40*m**4 in the form v + s*m + c*m**3 + j*m**4 + z*m**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 446*b - 42 = 439*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (13\/(-11) - (-4)\/22)*-255. Let i = 130 + g. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d**2 - 13*d + 26. Let j be -14*(3\/(3 - 2) + -2). What is the smallest common multiple of 30 and c(j)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -14 - -17. Solve 18 = -5*a + j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 45578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2768 - 2763 + 21*m - 3*m)*(-m + 2*m - 3*m).\nAnswer: -36*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/12 - (16675\/(-6))\/(-23). Let o = 126 + g. Solve 3*z + 13 = 2*w, 4*w + 15 - 40 = o*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7376 - 2*c**2 - 7374 + c**2 + 2*c**2 + 9*c**2.\nAnswer: 10*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pkx when three letters picked without replacement from ppkpkxkxkxxkx?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 - 2. Suppose -a*d = -105 - 50. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-6*(sqrt(204)*3 - sqrt(204))*6)\/((sqrt(72) - -1*sqrt(72))\/sqrt(6) + (sqrt(108)*-5)\/sqrt(9)).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -12*((-126)\/27)\/(-14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**2 - 8*g + 15. Let s(l) = -l**2 + 15*l - 41. Let n be s(5). Let y be t(n). What is the greatest common factor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from jtclvtcctvtvtc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11052 divided by 4.\nAnswer: -2763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:35 PM and 11:09 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/2*x**2 + 2\/3*x - 5\/6.\nAnswer: (x + 1)*(9*x - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6941*x - 6972*x + 558 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1481, -2617, -3765, -4937, -6145, -7401, -8717?\nAnswer: -10105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 + -141 + 96 - (-78 + 1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 126*o**2 - 76*o**2 + 3*o**5 + 124*o**2 + 36*o**6 + 2*o**5 - 12*o**6 wrt o?\nAnswer: 2880*o**3 + 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*l**2 + 2 - 2)*(18 - 18 - 6*l) + 20*l**3 + 6*l**2 - 6*l**2.\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*j + 10 - 10)*(37 + 26 - 14) + (-1 + 4 - 4)*(0 + 2*j + 0) to the form m + n*j and give n.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 32778 + -1901185\/58. What is the common denominator of -61\/4 and f?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 + 25. Let i = 12 - b. Let r = i + 10. What is the nearest to r in -2, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -262 + 822. Is 35 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 7*g + 747. What is t(-108)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Are -95933 and -95933 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17297 + -10660. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 2*t**2 + 24*t. Let r be f(19). Let a = r - 682. Let l = 1239 - a. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-3)*(18\/(-4))\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 8*i - 9509 - 9538 + 18937. What is r(17)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**2 - 88809*t - 7570440.\nAnswer: 3*(t - 29688)*(t + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -33, -4, 2, -76, 0 in increasing order.\nAnswer: -76, -33, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2695 and 307720?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -51 + 64. Sort -5, b, -2.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + 10, 3*l - t = -430 - 121. Let b = l - -262. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2634 by -3196.\nAnswer: 1317\/1598","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, -3, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 3*j**2 - 437 + 947 + j**3 - 2*j - 481. Let y be f(0). What is the first derivative of 7*w - 16*w - 38*w**2 + y + 9*w wrt w?\nAnswer: -76*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -143566 - -143597.0239. Let x = 31 - c. What is x rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-224)\/(-30)*-5*(-93)\/(-620)?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2444613035 to the power of 1\/3, to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add -20026 and -104621.84.\nAnswer: -124647.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 16483, 16478, 16473, 16468?\n\"Answer: -5*k + 16488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 6*n**4 - 6*n - 3. Let a(i) = 6*i**4 - 4*i - 4. Let h(m) = -6*a(m) + 5*q(m). Find the second derivative of h(k) wrt k.\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 21 and -449.372309?\nAnswer: 470.372309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -465, -930, -1395, -1860, -2325?\nAnswer: -2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -1581.\nAnswer: 1\/1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22 + -20. Let n be f - (-3 + 3)*1. Solve 3 = n*o - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = z. Suppose z = 12*l - 14*l. Suppose 3*b + b - 20 = l, -53 = -3*v + 5*b. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1449 - -7368. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87*t + 331*t - 862513 = -42429. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 9771846*j + 7. Let z be b(4). Suppose 5*o + z = 183087391. What is o rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -761523.415 to the nearest ten.\nAnswer: -761520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/23720 and -79\/29650.\nAnswer: 118600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26 - 26. Solve g = 3*u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 5\/3, -14, -4, -1047, -2, 0.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 PM and 2:57 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 + -2. Let q = h - -3. Let w be (1 - -3)*6\/(-12). Which is the smallest value? (a) q (b) 1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(76) + sqrt(76)*2*-3 + sqrt(76) - (2*sqrt(76)*-1 - sqrt(76))))\/((sqrt(576) + (sqrt(576) - -2*sqrt(576)))*-6*-4).\nAnswer: 5*sqrt(19)\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 15844 divided by 34\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 - f. Let r(m) = -3*m**2 - m + 1. Give -d(o) + r(o).\nAnswer: -o**3 - 3*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.021 times 0.167654?\nAnswer: -0.003520734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-6)\/(-4) - 99\/(-6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 9 - (2886 + -2866)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1782 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a**3 - 4*a**2 - 3*a - 7. Let l be u(5). Put 4, -14, l in decreasing order.\nAnswer: 4, l, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 114 and 4.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - s = -8247 - 2449, 2*r + 5*s = 5348. What are the prime factors of r?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/3 (c) 2 (d) -2104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 137904414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 18024528871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4542 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, 6, -0.4, -1 in decreasing order.\nAnswer: 6, 2\/5, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes before 8:27 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/18 and 79\/608?\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 58223, 55645, 53067, 50489, 47911?\nAnswer: 45333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-4*1\/(-70))\/(8\/(-14))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrrrwwrrrwrrwrrwwr. Give prob of sequence rrwr.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the third derivative of 0*z + 0 + 1\/24*z**5 - 7\/48*z**4 + 1\/6*z**3 - 12*z**2. Factor u(h).\nAnswer: (h - 1)*(5*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1209b (base 12) in base 3?\nAnswer: 1020100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -335 + 4525. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 7*v - 336 = 0. Let b = -30 - v. Suppose -2*i + 3*i - 4*a = -b, -3*i = 2*a + 8. Is i > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**2 + 20*g - 18. Let b be y(19). Which is greater: b or -27?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -537, -538, -541, -546, -553?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(500)*-1*3 - -1*(sqrt(500) + 2).\nAnswer: -20*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -615*r**3 + 4960*r**2 - 320*r = 0.\nAnswer: 0, 8\/123, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*1*sqrt(342))\/(sqrt(900)*-1))\/(sqrt(8)*3 - 4*(sqrt(18) - sqrt(2))).\nAnswer: sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -469 - 27.\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7, 16, 25, 34, 43?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -180, -178, -174, -168, -160, -150?\n\"Answer: d**2 - d - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -28*c - 5. Let l(o) = -9*o - 2. Determine 11*l(r) - 4*m(r).\nAnswer: 13*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q + 6. Let b be j(6). Let t = -15 - -16. Let c be (-32)\/(-12)*t\/(-2). Are b and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/112*668 + (-1)\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 - 6 = 4*x - 2*z, -z = -251*x + 257*x + 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -34400 (base 5) in base 16?\nAnswer: -9ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -13*m + 7*m. Let g be (-330)\/(-44)*m\/3. Solve 0 = -g*u - 2*i - 21, 4*u + 3*i = -1 - 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:56 AM and 6:50 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*x = 1987 - 611. Suppose -x = -30*q + 34. Solve -5*b + 19 = 2*m + q, -6 = 5*m - 2*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40524 divided by 44.\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -3*m - 13. Let x be a(-7). Suppose -x = -3*h + 52. Calculate the greatest common factor of h and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59678383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -7334800 to the nearest one hundred thousand.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 57*t - 56*t - 563. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 a, and 1 q when three letters picked without replacement from jqgjwawqqtqjjwajjgq?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -53\/2 - -21. Let d = 80915871\/10 + -8085109. Let j = d + -6473. Calculate the common denominator of k and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3.046747ng?\nAnswer: 0.003046747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5811\/22 + -263. Which is bigger: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105 = 8*l - 3*l. What is the highest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuauuaaakat. Give prob of sequence atu.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -91 + 175. Let l be 61\/5 - (28\/(-10) - -3). Calculate the greatest common divisor of b and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 40 = -2*m. Solve -o + m = -6*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2\/15 (c) -0.2 (d) 207 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 432*p**2*q*r - p**2*q - 265*p**2 + 3*p*q*r - q - 3 wrt r.\nAnswer: 432*p**2*q + 3*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -4\/997617?\nAnswer: -4\/997617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-288)\/(-33)*((-6095)\/159 - -42)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 991349 divided by 8773\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sum -715092141114 and 0.6.\nAnswer: -715092141113.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from vrvwqlvvwvqvvjvrvvv?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -49078, -49099, -49134, -49183, -49246, -49323?\n\"Answer: -7*m**2 - 49071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-17)\/7*2\/42. Let c = -71872045 + 105651889957\/1470. Let d = x - c. Find the common denominator of 46\/3 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 111355681 + -5?\nAnswer: 111355675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3102*x = -3077*x. Which is the fourth biggest value? (a) x (b) 3 (c) -0.5 (d) 6 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2*((-3)\/2 + -3). Let x be 2\/(-3)*(a - -3). Suppose -4*c = x*g - 28, g = 5*c - 29 - 24. Which is smaller: c or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -l**3 - l**2 + l. Let j be k(1). Let m = -0.05 + -0.95. Let q = m + 1. Which is the nearest to q? (a) -3 (b) j (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 169\/41041380 and -137\/796920.\nAnswer: 82082760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -23 + -11 + (13 + -15 - (3 + -5)) + 6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 70 - 65. Suppose -165 = -q*t + 320. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 - 18*u**2 + 42*u + 42. Let a be d(-20). Let h(w) = 9*w - 4*w**2 + 5*w**2 - w**a - w**2. Let r(y) = -y**2. Calculate h(r(x)).\nAnswer: -x**4 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -252a0 (base 11) to base 12.\nAnswer: -19001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6.013 + 1.987. Are j and -7\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-56))\/((2665\/164)\/(-65))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6416 and 24060.\nAnswer: 96240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - -9235?\nAnswer: 9232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 2*sqrt(2736) + sqrt(2736))**2 + sqrt(2736) + 0 + 0 + 2.\nAnswer: 156*sqrt(19) + 24630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -7158, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*t**3 + 41*t**3 + 39*t**3 + 6*t**3 - 24*t**3.\nAnswer: 64*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the first derivative of 2\/9*x**3 + 0*x + 1\/3*x**2 + 2. Find w, given that o(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -43415 - -2778479\/64. What is the common denominator of n and -27\/176?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 408*l - 5705. What is the least common multiple of x(14) and 2941?\nAnswer: 20587","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -19 in 0.6, -0.8, -2, 2, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 2 - 4 = 0. Let q be (2\/(-7))\/(-3 + 559\/182). Put -5, q, r in descending order.\nAnswer: r, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the first derivative of v**2 + 3*v - 1. Let o = -194 - -195. Suppose i + b = 4*i + o, -4*b - 14 = -3*i. Calculate p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 0.1, -2\/229, -2\/5, -4, 4\/5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 63 <= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 + 88\/24)\/(231\/378)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 + 99*q**2 + 639. What is the lowest common multiple of z(99) and 93?\nAnswer: 19809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 43 - 40. Solve 0 = -5*s + f*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*w + 4*i + 73, 924*w - 4*i = 929*w - 57 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -17760 minus 8?\nAnswer: -17768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -6.58312 to one dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-61)\/(-208)*(-84)\/(-168) and -97\/128?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*m - m + 3*m to q*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u - 2*u + 4*k - 6, 2*u + 5*k - 19 = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (27 + -37 - -2) + -14 + 8 + -57?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 37370 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2165*c**4 - c**3 + 2060*c**2 - 51916027*c wrt c?\nAnswer: 25980*c**2 - 6*c + 4120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * 1834.99\nAnswer: 183.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*c - 135*c + 53500 = -212564. What is the least common multiple of 18 and c?\nAnswer: 4338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the second derivative of h - 1\/6*h**3 - h**2 + 0. Calculate b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**3 + 15*z**2 - 17*z + 16. Let t be s(-16). Let b = t - 32. Solve 5*r + 5*g = b, 14 = 2*r - 2*g + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8423167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-96)\/168)\/((-2)\/14). Let m be (132 - 1)\/(f - (-77)\/(-21)). Round m to the nearest ten.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 0 + 2)*(2 + 2*t - 2) + 2 + t - 2)*(-2*t**2 - t**2 + t**2) - 4 - 2*t**3 + 4.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 51 + 26?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in -0.1, 12, 7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f\/f**(1\/2)*f)**(-1\/8)*(f**(-1)*f*f*f)**(4\/25)*((f**(-2\/15))**2)**10 assuming f is positive.\nAnswer: f**(-3191\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**2 - 61323*m - 1473480.\nAnswer: 3*(m - 20465)*(m + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*s - 10, -6*i - 4*i + 5*i + 5*i + s = -i - 3*i + 50 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 - 76*l**2 + 128*l - 2023. What is p(-78)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6536\/1445 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the first derivative of 4 - s - 9\/2*s**2. Let u be y(-1). Solve -4*q - u = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 102\/15 - 4\/5. Suppose -40 = -u*o - 4*o. Calculate the greatest common divisor of 16 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/11 in 168, 0, -0.2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 1. Let k = -82 + 79. Let n(g) = g**3 + 3*g**2 - 2*g - 7. Let f be n(k). Let a(r) = -3*r**2 + 4. Calculate f*a(h) + 4*i(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 0*c**3 + 11*c**2 - 2*c**3 - 2 + 6*c + 3*c**3 - 3*c**2. Does 2 divide w(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 272 - 267. Solve -5*q + 4 = -5*x - 2*q, p*x + q + 12 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 4 - 1. Suppose 3*y + 4*a + 9 = o, 4*a - 6 = 3*y. Let w be y\/(((-3)\/2010)\/1). What is w rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aoaaoaaaaoooo. What is prob of sequence aaao?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 146*f + 25*f + 4104 = 0 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 12047773 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -31548 divided by 2\nAnswer: -15774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 + 7*i)*(3*i + 0*i + 2 - i)*(5*i**2 + 5*i**2 - 4*i**2) in the form m*i**4 + n*i**2 + p*i + k*i**3 + h and give k.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-8)\/(-10))\/(5\/(-25)). Let c be (-30)\/9*6\/z. Suppose c*b = -2*y + 33 - 6, -2*y - 8 = -2*b. Sort 4, y, 0.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(627) + sqrt(627) + sqrt(627))\/sqrt(11))\/((2*sqrt(21))\/sqrt(7)) - (sqrt(57)\/sqrt(48) + (sqrt(2736)*1 - sqrt(2736) - sqrt(19))).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 1280882061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 3*g = -10, 5*o - 2*o - 5*g - 58 = 0. Let u be 1\/(1*1\/o). Solve -x + 5*x = u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -85*b + 3740. Let i be a(44). Let p(k) = -4*k - 3. Give p(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z**3 + z**2 - 6*z + 3. Let v be d(-3). Let i(a) = -373 + v*a + 183 + 191. Determine i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, 2, -120, -4 in ascending order.\nAnswer: -120, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**9)**36\/(u*u\/u**(-3\/8))**(-5) assuming u is positive.\nAnswer: u**(2687\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be 492\/66 + (-108)\/(-198). Solve -3*a + d*m - 13 = 9*m, -3*a + 4*m = -7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from owaoaoaw. Give prob of picking 2 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 33.1 - 33. Which is the third biggest value? (a) i (b) 0 (c) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 22 and 2956.\nAnswer: 32516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 127*n**2 + 39373*n + 914. Calculate i(-310).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 620 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4706, -19467, -44070, -78515, -122802, -176931?\nAnswer: -240902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20297935?\nAnswer: 5, 7, 43, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 601\/3 + -3964\/21. Let r = -12 + w. Let x = -0.9 + 0.7. Which is the second biggest value? (a) 1\/4 (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*s - 7*s - 20 = -y, -2*s = 5*y - 28. Find the second derivative of 7*i**4 + 57*i - 58*i**3 + 69*i**3 - 2*i**y wrt i.\nAnswer: 60*i**2 + 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z. Let s(n) = 13*n - 1. Let f(b) = -6*b + 1. Let m(a) = 5*f(a) + 3*s(a). Let u be ((-240)\/2)\/3 - 3. Let w = 49 + u. Determine w*l(p) - m(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -1404*r + 1399*r - 25 = b, 0 = 7*r + b + 37 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find o such that o**5 + 50612*o**4\/5 + 128088849*o**3\/5 + 51227442*o**2\/5 = 0.\nAnswer: -5061, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62370?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q = -4*q + 11, -74*h - 62*h + 4*q = -132*h + 64 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 48461911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 441 + -279. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**3 + 5*h**2 + 9*h + 9. Let d be (-10 + 3)*(-2)\/2. Give s(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.3 - 12320.\nAnswer: -12315.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 362100907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 4*x + 104 = 0, 2*z - 82 = z - 4*x. Suppose -3*y + 5*y + 158 = 3*j, 0 = j - 3*y - z. What is the greatest common divisor of 20 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/3*2616309\/(-6). Suppose n = 3*m + 2231402. What is m rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11075*b**3 - 3034*b**3 - 8063*b**3.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22 + (10 - -18) + -17 - 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 6 - 2)*(-10*y + y + 0*y).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that 24\/5*y + 36\/5 + 3\/5*y**2 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -136 - -138. Suppose 0 = -3*k + l + 10, -7*k - 4*l = -2*k + 6. Solve k*u + 13 = -b + 2*b, 2*b = n*u + 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2796774.363+2\nAnswer: -2796772.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the second derivative of o**8\/560 - o**4\/24 + o**3\/3 - 3*o. Let p(z) be the second derivative of r(z). Find the first derivative of p(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9272.968 centuries to months.\nAnswer: 11127561.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 - 2 + (-4 + 1 + 2)*(0 + 2 - 3))*(2*s + 3*s - 2*s).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -8 + 29 - q**2 - 2*q**4 - 13 - 13 + 2*q**3 + 3*q as l + r*q + j*q**3 + x*q**4 + u*q**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1837203578 minus -0.1?\nAnswer: -0.0837203578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 6*a + 17. Let u be d(-4). Let m(b) = -b**3 - 8*b**2 - 10*b - 9. What is the remainder when 35 is divided by m(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 13 + 6 + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is b0a (base 12) in base 14?\nAnswer: 81c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -5*c**2 + 89*c - 32. Let u(i) = i**2 + 5. Determine g(d) + 6*u(d).\nAnswer: d**2 + 89*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1389 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**2 - 2*h - 5. Let j(s) = 4*s**2 + 6*s + 15. Let y(u) = 2*j(u) + 7*m(u). Give y(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1166.79 + -99.85. Let s = j + -1067. Let i = -3 - -3.4. What is the closest to s in -3, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -13778*u + 13789. Determine y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 117*k - 2689. Let w be q(23). Let d(y) = 42*y + 1. Let p be d(-6). Sort p, w, -5 in descending order.\nAnswer: w, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-3\/2)*v\/(v\/(v\/(v*(v\/v**(-1\/10))\/v)))*(v\/v**(-1)*v)**6)**(-36) assuming v is positive.\nAnswer: v**(-2952\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (16\/10 - 2)*(-21820 - 0). Let q = c - 4728. What is q rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -700*v = -643*v + 1482 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in fifty-one fifths of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 133256424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 48*r + 33*r + 48*r + 33 + 40*r - 152*r. Calculate f(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36397, 36269, 36145, 36025, 35909, 35797?\nAnswer: 35689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/((((-40)\/(-5))\/(-2))\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbcbccccbbc.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2*c)*(-11 - 1 + 3)*(-63*c**4 - 59*c**4 + 156*c**4 + 5*c).\nAnswer: -612*c**5 - 90*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 4*z - 43. Let v be s(13). Let x(h) = h**3 - 8*h**2 - 5*h - 18. Let t be x(v). Suppose t = 5*u - 2. Let m(b) = 3*b + 3. Determine m(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 4637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 89 = -156*y + 153*y + 5*w, 103 = 4*y + 5*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (((-660)\/(-385))\/(2\/14))\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2518, -10656, -24218, -43204, -67614, -97448, -132706?\nAnswer: -173388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 228 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from mttttttt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 60429*p + 3*v = 60428*p - 17, 2*p = 5*v + 21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.6, -4, -2\/5, -1\/84, -0.062 in descending order.\nAnswer: -1\/84, -0.062, -2\/5, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 2*y**3\/11 - 3504*y**2\/11 - 28200*y\/11 + 6400 = 0.\nAnswer: -10, 2, 1760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 - 5279 = -338*x + 214*x + 218*x for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -309.568 + 304.26708. Let k = -364 + 369.3. Let f = k + a. Round f to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 9796*v + 88189. Give i(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of (4 + (-224)\/10)\/((-4)\/50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -be (base 16) in base 12?\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.147982539 rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find n such that n**5\/3 - 382*n**4\/3 + 14779*n**3\/3 + 31478*n**2\/3 - 14780*n\/3 - 31096\/3 = 0.\nAnswer: -2, -1, 1, 46, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -87.3 - -91. Let s = 242.6 - 246. Let d = n + s. Which is the closest to 0.1? (a) d (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lbnnnbynnnyylynbnbnn. Give prob of picking 1 n and 1 y.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 161\/450 and 47\/450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -9*k - 10. Suppose 0 = 645*v - 653*v + 56. Let g(c) = 8*c + 10. Determine v*g(u) + 6*y(u).\nAnswer: 2*u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2796 and 112.\nAnswer: -313152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2692\/63 - 902\/21. What is the nearest to -0.2 in -13, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 9\/5 + 2\/10. Suppose 2*m = 4*a + z, -4*a - 2 = -14. What is the remainder when 34 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**2 + 3. Suppose -6*v = -4*v + 4. Let f be 0\/(2*(v + 1)). What is j(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 65604 and 74250.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-78)\/350 - ((-247)\/91)\/19?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 5*z**2 + 70*z + 245 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**2 - 15*o + 16. What is the remainder when j(15) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:50 PM and 1:08 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + 0*p + p**2)*(-210 + 5*p - 2 - 4*p) - 2*p**3 + 4*p**3 - p**3.\nAnswer: 2*p**3 - 212*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**3 - 18*w**2 + w + 26. Let v be b(-18). Let q be 12\/v*4\/6 + 43. Let i = 52 + q. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -48 - 37. Suppose -2*x = -5*m, -q = -4*x + 4*m - 5. Suppose x*n + 20 = 0, -o = -0*o + 5*n + 4. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 - 23*p**2 + 146*p - 1019. Give d(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -2*b + 40. Let i be l(13). Is (-106)\/i + 7 - (-14333)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*n + 1870 = -71*n - 1770 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/9 smaller than -176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -771 (base 8) to base 5.\nAnswer: -4010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - x = 4, -3*t = -5*x + 2 + 6. Suppose -t*y - y = -10. Let n be (-576)\/(-27) + y\/3. What is the greatest common divisor of 154 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 2 + 2*a)*((0*a**2 - 5*a**2 - 3*a**2)*(2 + 3*a - 2) - 13*a**3 - 3*a**3 - 6*a**3) to the form g*a + w + s*a**4 + i*a**3 + t*a**2 and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47916*f = -47885*f. Let z(x) = -x**3 + 2*x**2 + 27. Calculate z(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6.1 - -5.1. Sort 0.5, z, -7 in ascending order.\nAnswer: -7, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*a**3 - 52 - 33*a**3 + 52 + 23*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 + 7. What is the third derivative of 2*n**5 - n**5 - 9*n**m + 6*n**2 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 + 0)\/(4\/(-6)). Let a(q) = -9 + 61 - q**i - q - 3. List the prime factors of a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10*x**6 - 42*x**2.\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*n + 44*n - 2 = 0. Solve -5*q = 20, 4*q - n + 8 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 16) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -2*s + 4. Determine a(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the third derivative of -k**4\/8 - 5*k**3\/6 - 9*k**2. Let q(y) be the third derivative of y**4\/12 + 2*y**3\/3 + 2*y**2. Calculate -4*h(l) - 5*q(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 - -1110001000110000000001?\nAnswer: 1110001000110000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) + 0 + 2 + (sqrt(13) - sqrt(91)\/(sqrt(28)\/sqrt(4))) + 3)**2.\nAnswer: 10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.03*-7.009.\nAnswer: -0.21027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000804047 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -294*m + 6. Let j be n(-2). Let l = j - -1205. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xccmewu. What is prob of picking 1 u and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*q = -2*q - 12*q + 1498. Is 1498 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -4*v**2 + v - 1. Let g(h) = 5*h**2 - 2*h + 2. Let p(l) = 2*g(l) + 3*x(l). Let o be p(1). Let j(u) = u**3 - u + 2. What is j(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**2 + 8*z + 8. Let s(h) = -3*h**2 + 23*h + 22. Let i(r) = -11*m(r) + 4*s(r). Let d be i(4). Solve -5*b - 32 + 7 = d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 - 5*i**2 + 5*i - 2. Let l be c(4). Suppose -3*m = -l*g - 2*m + 17, -m - 33 = -4*g. What is the highest common factor of 40 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4120 - 4102 - (13 - (1 + 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -103 = 114*a - 183 - 376 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 768317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -27 - -73. Let m = l - 136\/3. Factor -m*o**2 + 4\/3 - 2\/3*o.\nAnswer: -2*(o - 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -23026*q + 19317. Let d(k) = 5749*k - 4829. Let z(o) = 4*b(o) + 17*d(o). Differentiate z(i) with respect to i.\nAnswer: 5629","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (((-624)\/(-30))\/26)\/((-4)\/(-10)). Solve 6*c - v = 2*x + 3*c, -3*x + 2*c + 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 - -1. Suppose 5*c - 5*z - 8 - 37 = 0, -5*c - l*z + 61 = 0. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -377 + 374. Let p = 188 - n. List the prime factors of p.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 888*i + 349*i - 13935 = -6616 + 21132 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 16964701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let r = 0.083 + -2.083. Let u be 54\/66 + (2 - 3). Let w = -1.2 - -1. Which is the nearest to w? (a) u (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.035 in 12, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 902, -64, 2 in descending order.\nAnswer: 902, 4, 2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*a + 54 - 140 - 8)*(4 - 2 - 1) to j + n*a and give j.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the second derivative of 1\/3*a**4 + 10\/3*a**3 - 2*a + 0*a**2 + 2. Factor n(q).\nAnswer: 4*q*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -2*l**2 - 27*l + 52. What is o(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-31)\/((-17980)\/87))\/((-18)\/(-3144))*10\/2?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-696)\/(-20)*(320\/(-12))\/(-4). Let a = 237 - f. Solve a*i - j - 15 - 5 = 0, 0 = 2*i + 2*j - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -20*g**2 - 5*g + 13. Let r(m) = 11*m**2 + 3*m - 8. Let j(l) = -5*r(l) - 3*z(l). Let v(p) = -94*p. Determine v(j(x)).\nAnswer: -470*x**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*r - 6 = -15*r. Suppose 0 = 3*s - 4*i + 4, i = r*s - 0*i + 1. Suppose s = -16*z + 21*z - 180. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -995 + 966. Which is the closest to 1? (a) 0.5 (b) 4 (c) l (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -21, -60, -101, -144?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(3\/20)*w*w**22)\/(w**19)**(-21) assuming w is positive.\nAnswer: w**(8443\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126 = 12*j - 618. Let d = -595 + 744. What is the remainder when d is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 21 - (-55 + 46)) + -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*4*((4*sqrt(288)*-2 - sqrt(288)) + 2*sqrt(288) + 1 + 2)**2*-6.\nAnswer: -1016712 + 36288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -153*x**2 - 14 + 14 + 118*x**2. Let z(l) = 2*l. Calculate v(z(t)).\nAnswer: -140*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 704*m**3*y**2 + 2395*m**2 - 3635*m*y**2 + m - 729*y**2 wrt m?\nAnswer: 4224*m*y**2 + 4790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2551587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 11*s + 70. Let d be r(-6). Let v = 0.1 + 0.1. Let b = 0 + v. What is the second smallest value in b, -1\/6, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*c**2 + 3*c**2 + 2*c**2 - c**2 - 7*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 283 = -6*o - 3*o + 6493. What is the greatest common divisor of 150 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 569526.403 to the nearest 10.\nAnswer: 569530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 45.60151 grams in milligrams?\nAnswer: 45601.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*f + 14976 = 10*f + 2*f. Calculate the smallest common multiple of 960 and f.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/130)\/((-18)\/90)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 - 3*r**2 - 8*r - 5. Determine m(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13 - 0) + 0 - (-4 - (-75 - 4 - -88)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - 1 - (172 - 184)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1417259.54184151 minus 1?\nAnswer: -1417260.54184151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -12.8, 5.7, 0.2?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -38 * -11.469457.\nAnswer: 435.839366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 20 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2 + 18\/(-8))\/((-4788)\/2016). Which is the nearest to -4? (a) 5 (b) t (c) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3022 + -122?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*s + 8 = -28*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -572\/3 - 4294\/9*d - 10\/9*d**2.\nAnswer: -2*(d + 429)*(5*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j - 2 + 6. Suppose -r = j*a - 26, 5*r = -2*a + 20 + 92. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -2*y**2 + 140*y - 2218. Give v(24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**3 + 10*y - 10. Suppose -3*g + 21 = -2*j + 47, 0 = -3*j - 3*g + 9. Let l be d(j). Let m = 2001\/5 - l. Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -39 - -29 - (-1 + -4404)?\nAnswer: 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 + 8. Solve 0 = d - 0 - o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -259*f + 131*f + 167*f + 87*f**2 wrt f.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**3 + 2*m**2 - 12*m - 6. Determine c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 9 * 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 731691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (9744\/754)\/(108\/1053)\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(-2)*(153\/9 - 11). What is the biggest value in 4\/5, x, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 119*n + 35*n**2 - 31*n**2 - 110*n + 20. What is the hundreds digit of k(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 + 86*a - 1230. Let p be j(18). What is the closest to p in 1\/3, -16, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uzsu. What is prob of sequence zus?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(132)\/(sqrt(9)\/sqrt(3)))\/((sqrt(32)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 35364 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -21.47 - -25.47. Which is smaller: n or -0.0339?\nAnswer: -0.0339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34382.\nAnswer: 2, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 4*y - 23 = 11, -2*z = 2*y - 18. Is 391\/4 + z\/56 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -123 (base 13) to base 16\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence txx when three letters picked without replacement from {x: 2, t: 1, u: 1, f: 4}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 18156188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29 - -8 - -2*(-6)\/(-2) is divided by 14 + 0\/(-1) + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3977 rounded to two dps?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 62 (base 10) to base 15.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1701 - 11905\/7. Sort 5, -2.5, 2\/3, b in increasing order.\nAnswer: -2.5, b, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12 - 12. Which is greater: 1\/8 or q?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(288) + (-3*sqrt(288)*2)**2)*-2 + (sqrt(288)*1*3*-5)**2.\nAnswer: -24*sqrt(2) + 44066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -15667, -31327, -46987?\n\"Answer: -15660*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*n = 5*n + 4158. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1201122200 + -111001100?\nAnswer: -2012201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9 + -6. Let y = d + 6. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 3*f. Suppose f*y + y = 5. Suppose -y*d - 10 = 0, 4*a - 4*d - 149 = -53. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4193 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 19 - -10. Let p(b) = -b**2 + 4*b - 5. Let q be p(6). Let i = d + q. What is the least common multiple of 4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4909223 to the nearest integer?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is ca0 - -a?\nAnswer: caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -222 divided by 3?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -14, -4, 109 in ascending order.\nAnswer: -14, -4, 2, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1100*h + 1098*h + 6*l - 10, 0*h = -5*h - 5*l - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7*(-5)\/140*14*10\/25.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ub when two letters picked without replacement from {u: 2, e: 1, h: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -29 - -29. Let i = -2 - -7. What is the biggest value in i, 7, x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/584 and -75\/2960588.\nAnswer: 5921176","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 527429628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 73881 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 498 = 13259. Let a = 220031\/16 - i. Calculate the common denominator of -35\/12 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = 5*l - 40, -2*y = 5*l + y - 44. Let u(q) = q**3 - 11*q**2 + 10*q + 6. Let h be u(l). Let k(t) = -t**3 + 5*t**2 + 4*t - 4. Give k(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**3\/3 + 76*c**2\/3 - 82*c\/3 - 52.\nAnswer: 2*(c - 2)*(c + 1)*(c + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.51 - -0.5. Let y = z - -0.03. Let a = y - 2.02. Sort 1, a, -5 in decreasing order.\nAnswer: 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -20, -8, 2, 10, 16, 20, 22?\n\"Answer: -y**2 + 15*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 125637 is divided by 641.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 14249000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of -125\/6*i**3 + 2 + 1\/12*i**4 + 29*i**2 + 94*i. Differentiate j(f) with respect to f.\nAnswer: 2*f - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3d34365 - 1?\nAnswer: -3d34366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 388 = 64. Let v be 1\/(-3) + (-37)\/(-3). What is the highest common divisor of u and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 AM and 6:49 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r**2 - 8*r - 2. Let j be z(8). What is the tens digit of (j + 1)*8*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33 + -0.021?\nAnswer: 32.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -49739\/36 + 5537\/4. What is the common denominator of n and -75\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -186 + 180. Let c(a) = -a**3 + 4*a**2 + a - 4. Let n be c(3). Let o = n + f. What is the smallest common multiple of 7 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/916850 and -93\/314229500.\nAnswer: 3456524500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 186997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.099 (b) -4 (c) 3\/4 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14717*v + 0 - 690*v**3 + 0 - 10621*v wrt v.\nAnswer: -4140*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 824?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:46 AM and 7:04 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be 52\/78*(418\/4 + -1). Suppose -p*v = -63*v - 3462. List the prime factors of v.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 20, 58, 108, 164, 220, 270, 308, 328?\n\"Answer: -b**3 + 12*b**2 + 9*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*w**3 - 4510360*w**2.\nAnswer: 4*w**2*(w - 1127590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 323 minutes after 5:35 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 170 and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -6.012 plus -189?\nAnswer: -195.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 - 3 = -3*o. Let w(s) = -4*s**3 + 3*s - 2. Let v(a) = -9*a**3 + 7*a - 5. Calculate o*w(i) - 2*v(i).\nAnswer: -2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 191\/208860 and -151\/6516432.\nAnswer: 32582160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1*0.5392\nAnswer: 0.5392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 85 and 6035?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -14927 * -71.53.\nAnswer: 1067728.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 444489 and 2748?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -13*a**2 - 22*a + 20. Let c(g) = -7*g**2 - 11*g + 10. Let i(t) = -11*c(t) + 6*u(t). Is i(-9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/((-48)\/80*(-1)\/(-3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 138, 281, 424, 567, 710?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-10 - -18)*(-556)\/(-32) is divided by 4\/(-14) - (-21)\/(1470\/1000).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39212 is divided by 13070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 5 + 2)*(-3*n**2 + 5 - 5)*(19 - 25 - 47)*(9*n - 9*n + 6*n).\nAnswer: 6678*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ecc when three letters picked without replacement from eccccceeccccccceccc.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes after 4:05 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2 (b) -44 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 63643834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.00208 + -0.08\nAnswer: -0.07792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 3*z + (-1 + 1 - z)*(6 - 2 - 2) - 3*z - 3*z + 7*z + 1 + 4*z - 1)*(2*z + 0*z + 2*z).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m**4\/5 + 799*m**3\/10 - 2952*m**2\/5 + 4696*m\/5 + 3136\/5 = 0. Calculate m.\nAnswer: -1\/2, 4, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -23121, -46240, -69373, -92526, -115705, -138916, -162165, -185458?\nAnswer: -208801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -58 - -39. Let k be i\/30 + (-2)\/(-4). Let y = 8.9 - 9. Which is the third smallest value? (a) 0.1 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5, 3, -3, -13, -27?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**2 + 3*j - 1. Let y be l(-4). Suppose 4*s - y*s = -1. Let c be (-2)\/(-1 + 3)*s. Which is smaller: c or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6386.677 weeks to days.\nAnswer: 44706.739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 3 = 5*v. Let q(f) = 12*f - 2. Let p be q(v). Suppose 36*s = p*s + 184. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -56 divided by 2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:19 AM and 5:09 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.34 - 0.06. Suppose -584*l - 7996 = 1415*l. Sort m, l, 45 in ascending order.\nAnswer: l, m, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-5 - -5)\/(-4 - -1). Suppose 2 = -2*g - 4. Let n = -5 + 10. Put n, a, g in decreasing order.\nAnswer: n, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3492940.\nAnswer: 2, 5, 11, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1417, 5672, 12763, 22690, 35453, 51052, 69487?\nAnswer: 90758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 114\/684 + 1\/(-30)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from phwwhpwww. What is prob of sequence phhp?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v + 4*v + 705. Let b(h) = h**2 + 5*h + 4. Let o be b(-3). What are the prime factors of v\/(-21) + o\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 99\/100750 and -29\/700.\nAnswer: 1410500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -4453.46221 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -50*i**2 + 40*i - 10. Let f(s) = 17*s**2 - 13*s + 3. Let x(j) = -4*a(j) - 11*f(j). What are the prime factors of x(5)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 27\/2 of a millennium?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-204\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 602 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.665139 to two decimal places.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2.1 (b) 4\/7 (c) -0.3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t and 1 g when three letters picked without replacement from ttgtttttggttgt?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(600)*2)\/(-6*1*sqrt(8) - (sqrt(8) - ((sqrt(128)*-1 - sqrt(128)) + sqrt(128)))).\nAnswer: -10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -34 + 6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 2*u - 2 = -0*u, -3*u - 15 = 0. Let a be s\/(-3) + 2\/3. Suppose -n - 2 = a*m - 11, -3 = -2*m + n. Solve -4*c = m*r - 1, -c = -2*r + 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**3 - 3*l**2 - 4*l + 4. Let h be d(4). Suppose 7 = h*z - 125. Suppose 2*n = z + 3. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12325 is divided by 4102?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4047922 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-80)*26*(-6)\/3.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 18 by -4.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -49*d - 124. What is the units digit of h(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -45 - -44.9. Let d = 4 - 0. What is the smallest value in z, 2\/9, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 374246683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 370, 316, 176, -92, -530, -1180?\nAnswer: -2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**1\/j**(1\/12))\/(j*j**(-2\/7))**(1\/20))**(2\/51))**(-4) assuming j is positive.\nAnswer: j**(-148\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 38 and 1178.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 161 = 5*s - 2*f, 4*s + 0*f - 124 = 4*f. Let p = s + -17. Calculate the lowest common multiple of 20 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -27 + 50 - 13 - 10 + 2722*v - 11723*v**2 wrt v.\nAnswer: -23446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -305 - -599. What is the least common multiple of q and 11?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**3 - 27*k**2 + 17*k + 1733. What is c(-7)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*t - 16*t + 12*t**2 + 35*t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) 5\/3 (c) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -b**2*u**3 + 774*b**2 + 17720*u**3 + 7*u**2 wrt u?\nAnswer: -6*b**2 + 106320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -2136*l**2. Let h(p) = -161*p**2. Determine h(f(j)).\nAnswer: -734561856*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 148*f**4 - 23*f**3 + 1240*f**2 wrt f?\nAnswer: 3552*f - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 204, -3, -1, -5, 4, 1560, 1 in decreasing order.\nAnswer: 1560, 204, 4, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22588385?\nAnswer: 5, 1553, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 15 and 162784515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 49216597 a multiple of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add -34084 and 19.\nAnswer: -34065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -143\/7548 and -19\/13920?\nAnswer: 8755680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17955\/(-11400)*10)\/(15\/(-4)).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 2\/7, -2, -5\/108?\nAnswer: -5\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -4016520 divided by 72\nAnswer: -55785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -147*z - 1918 + 448 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/8 - (-122)\/4. Suppose -7*m = -2*m - h. Calculate the remainder when 21 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1\/25, -1\/6, 10, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**2 + 196*t - 18287. Determine g(69).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 413519 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(176) - (sqrt(176) + 5 + (sqrt(176) - (sqrt(176) + 1 + sqrt(176))))) + 4)**2 - ((sqrt(176) + -1 - sqrt(176))**2 + -1 + ((sqrt(176) + -2)*1)**2).\nAnswer: -4 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/12*-3*16\/(-6). Sort b, -3, 4, 2 in decreasing order.\nAnswer: 4, 2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -723, -840, -957, -1074?\n\"Answer: -117*i - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 + 2 = -3*r. Suppose 5*d + r*q - 261 = 0, -3*d - 5*q = -82 - 86. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -142986 = -3*m + 2*r, -r + 201239 = 3*m + 58244. What are the prime factors of m?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 229 divide 552806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, d: 1, w: 1, i: 1, p: 2, v: 1}. What is prob of sequence ipps?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -409, -561, -687, -775, -813, -789, -691?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - p + 21. Suppose 7*m = 20 + 22. Solve -5*b - 4*c + p = m, c = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -2*f**3 - 816*f**2 + 3296*f = 0.\nAnswer: -412, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 21*s - 14*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -8545*h**2 - 97*h + 31. Let i(x) = 5*x**2 - 2*x - 1. Let u(j) = 5*i(j) + n(j). Find the second derivative of u(g) wrt g.\nAnswer: -17040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.4, -4, 1, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = n + 3*j, 3*n - 3*j + 15 = 3. Let x be -3 - 21\/(n - -2). Solve x + 2 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 987161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -97*w = -106*w + 864. Let u(f) = -4*f**2 - f**2 + 95*f**3 + 3*f - w*f**3 - 3 + f**2 + 0*f. Determine u(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n - 2*t + 10, t + 0 = 5. Suppose 5*v = 11 + 14. Suppose -v*q + 17 = 2*h, -2*q - 6 - 4 = -2*h. Solve h*s - 4*s = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**3 - 15*q**2 - q + 18. Let c be j(15). List the prime factors of c - 2 - (1 + -4 - 123).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 + -32 + -145 - (-49 + 9)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 101539 + 174.68.\nAnswer: 101713.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.9274 - 0.0526. What is the third smallest value in i, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 176027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 30 = 4*m + 2*b, -382*m + 5*b - 33 = -378*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-456)\/(-209) + (6\/(-44))\/((-45)\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u**5 + 7438*u**4 + 247570*u**3 + 232690*u**2 - 247568*u - 240128 = 0. Calculate u.\nAnswer: -32, -1, 1, 3752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -106.57 - -0.57. Let k = 106.48 + o. Let c = -0.4 + -0.6. Is c at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, 4, 10, 8, -44, 5 in ascending order.\nAnswer: -44, 4, 5, 8, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, -5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (147\/(-1911))\/(1000\/130)?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 360001 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - 6)*2\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, f: 1, t: 2, r: 2, a: 8, w: 2}. What is prob of picking 2 a?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 5*z = 8, -5*v - 7 = 2*z + 7. Let u be (-200)\/(81*39\/1578 + v). What is u rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 119 = -10*p. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 138 + -137. Which is the closest to -4? (a) -3 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in twenty-one quarters of a microsecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/(o\/(o*(o*o**(-5\/2))\/o))))**(2\/55) assuming o is positive.\nAnswer: o**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -11554000 rounded to the nearest 100000?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 6*c + 11. Let h(y) = -5*y - 2. Let u(l) = -l**3 - 3*l - 7. Let d be u(-2). Let j(z) = 10*z + 6. Let b(v) = d*h(v) + 4*j(v). What is 6*a(q) - 7*b(q)?\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1 + 3 + 2)*(-110)\/(-110). What is the nearest to 4 in 0.02, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -417?\nAnswer: -1\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the second derivative of 0*x**3 + 0 - 7\/30*x**6 + 4*x + 0*x**5 + 0*x**2 - 1\/3*x**4. Find the third derivative of t(h) wrt h.\nAnswer: -168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(-14)\/g)\/g)**11*g**(-1\/33)\/g**(-41) assuming g is positive.\nAnswer: g**(-4093\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6211*i + 6211*i - 334*i**2.\nAnswer: -334*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2\/5871 - -16311\/7828. Let q(x) be the second derivative of 0 - 35\/24*x**4 + 5\/2*x**2 + 12*x - d*x**3. Factor q(h).\nAnswer: -5*(h + 1)*(7*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -94.797 - -95. Let h = y + -0.603. Which is the third smallest value? (a) 2 (b) 0.04 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -13 + -c?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.3 (b) -3 (c) -0.7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 14*l + 112209 - 112293 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (2 - (-33)\/(-18))*(-16 + 59 + -41)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(72)*-6 - sqrt(72))\/(-5*sqrt(12)))\/((2*sqrt(84)*-1)\/(sqrt(567) + 1*sqrt(567))).\nAnswer: -117*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3075*x**4 + 7*x**3 + 7186*x**2 + 9.\nAnswer: -73800*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/1456 and 5\/44?\nAnswer: 16016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*t**2 - 5*t**2 + 0*t**2 - 8*t**2.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 + 3\/(-6))*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 10 = -20. Let r be ((-3)\/v)\/(1\/(-64)). Suppose -2*g = r - 86. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 5:21 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**(-1)\/d)\/d*d)\/d*d**(-3\/5))\/((d*d\/(d\/((d*d**(-7))\/d*d*d))*d*d)\/d**(-3)) assuming d is positive.\nAnswer: d**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r and 1 h when three letters picked without replacement from hrffffrffrr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and -268584.2.\nAnswer: 1074336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -40\/12801 and -85\/4478844?\nAnswer: 76140348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**2. Let i(d) be the first derivative of -63*d**2\/2 + 22. Calculate c(i(b)).\nAnswer: -3969*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4 + -1 + -2 + 2. Solve 4*s + 0*m + 20 = 3*m, -d*s + 5*m = 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*j - 20, -2*j = -4*m + 24 - 42 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 2*j - 36 = -j, t = j - 6. Let o = t + 18. Let q = 1309 + -1310. What is the third biggest value in o, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -4 (b) 1 (c) -0.16 (d) 0.2 (e) -395 (f) 6 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 24194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are -8 and -67 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 15 + -1. Let x be 21\/j*(-2)\/(-1). Solve v - 2*t + 13 = 0, t = 1 + x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s - 1. Let c = 12 + -6. Let x be m(c). Is x equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:01 AM and 1:45 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*u = -46 + 146. Let k be (6 + u)\/((-4)\/(-8)). Let o(z) = -z**3 + 4*z**2 - 5*z + 5. Determine o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27351387.47 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 14207937409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -7*i**2. Let j(g) = g**2 + 2. Let u be 3\/8 - (-1003)\/(-136). Let c(b) = -b**2 + 4*b**2 + b**2 + 7. Let d(r) = u*j(r) + 2*c(r). Give z(d(k)).\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 + -21)*1\/2. Let g be 5\/2*-2*n. Suppose g + 29 = 3*p. Calculate the highest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-1)\/4)\/((-3)\/60) + 380.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1155571 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, d: 1, n: 1}. What is prob of sequence ccnd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13*d**3*o**3 - 3*d**3*o + 13*d**3 - 18*d**2*o**3 + 80*o**3 wrt d?\nAnswer: 78*o**3 - 18*o + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**2 + 61*p - 156. Determine t(61).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u + 9. Let g(s) = 1. Let i(q) = -2*a(q) + 10*g(q). Determine i(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1242323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(((sqrt(1539) + 1)*-5)**2 - ((sqrt(209) - sqrt(209)*-2)*-1 + sqrt(209))\/sqrt(11)).\nAnswer: 1356*sqrt(19) + 115500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 3*c**2 + 11*c - 1. Let d be i(-4). Suppose 91 = 2*u - d*v, -u + 4*v - 2*v + 44 = 0. Which is smaller: 51 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 28*o**3 + 2*o**2 - 2*o - 3. Let p be k(2). What is the second derivative of 72 - p*b**5 + 72*b**5 + 0*b**3 - 168*b + 167*b + 0*b**3 wrt b?\nAnswer: -3060*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -2*w + 5*z + 29, z = 2*w - 13. Put w, 2, -3 in descending order.\nAnswer: w, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -5*a**3 + 5*a**3 + 9*a**3 - a**2 - 1 - 8*a**3. Let o(t) = -t**3 + 31*t**2 + 15*t - 39. Let z be 3\/2*(-12)\/3. Let i(b) = z*w(b) - o(b). Factor i(f).\nAnswer: -5*(f - 1)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c - 17. Let z be s(-15). Is 47 a factor of (12\/z)\/(7\/(-329))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15881 is divided by 15861.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(98) + -5 + 0 + sqrt(98) + sqrt(98) - (-1 + -2*sqrt(98)))**2 + -3.\nAnswer: -280*sqrt(2) + 2463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 144*c + 30. Let r(t) = -t**2. What is z(r(w))?\nAnswer: -144*w**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 25649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -42*l - 1. Let y be x(0). Let p be -6 + 6 + 0\/y. Suppose 60 = -3*d + 7*d. Solve -d + p = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -681*y**2 - 7 - 11 + 0 + 683*y**2 + 106*y + 1 in the form f*y + w*y**2 + x and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, 7, 2\/5, -0.09?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -2*a - 2*a - 4 + 2*a**2 + 2. Let j = 637 - 633. Calculate the smallest common multiple of 16 and n(j).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 - (-105 + 81) - (-69 - 1) - 13?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/9 and 6\/((-432)\/(-476)) + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15300.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -464 = 133*x - 75*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/30 and 97\/9038.\nAnswer: 135570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 187*v - 29 - 101*v + 29 + 64*v + 635*v.\nAnswer: 785*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.7916 to two decimal places.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7736012?\nAnswer: 2, 47, 41149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t = -5*f + 6020026 - 6019954, 0 = 4*t + f - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z + 8. Let v be (3\/(-2))\/((-12)\/40). Suppose 2*d = u - v*u - 8, -2*d = -3*u + 15. Let q be g(d). Solve q*f - 6 = 5*m, 4*f - 2*m + m + 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 + 10 = u + 4*b, 0 = 4*u - b - 184. Suppose 0 = 42*y - u*y - 6. Let t be -2 + (-8)\/y + 1. Solve -3*s + 6 = -m - t, 4*s = 2*m + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 416570041.\nAnswer: 19, 691, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 4*w - 27. Let d(q) = 5*q**2 - 4*q - 5. Let c(b) = -6*b**2 + 3*b + 6. Let r(n) = 4*c(n) + 5*d(n). Calculate r(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -480968631*k**3 - 97693306*k**2 wrt k?\nAnswer: -2885811786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -5*y**4 + 2859*y**3 - 232173*y**2 + 183341*y + 45978 = 0.\nAnswer: -1\/5, 1, 97, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 148970, 148959, 148952, 148949, 148950, 148955, 148964?\n\"Answer: 2*o**2 - 17*o + 148985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -52 = -51*u + 101 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-2)\/(-4))\/(4\/6896)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3785921933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 377 - 370.02. Let q = -6 + v. Let h = q - -0.17. Round h to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i**5 - 4*i**5 + i**5 + (-4*i**4 + 2*i**4 + i**4)*(i + i - i) + 22*i**5 + 37*i**5 - 2*i**5 + i**5 - i**5 + 6*i**5.\nAnswer: 59*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -7, -2\/9, 3\/4 in ascending order.\nAnswer: -7, -2\/9, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (57 - -14) + (-87 - -64)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2405 = -8*i + 731. What is the greatest common divisor of 1274 and i?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:51 AM and 4:44 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -0.261*0.5\nAnswer: -0.1305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*b + 36*b - 6*b - 1765714 = 0. Round b to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -102 + 104. Solve -6*u = -s*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 274 + -274.0000001. Round j to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**2 + 2*y - 10. Let g be l(8). What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + s - 12 = 0. What is the first derivative of 1 + 29*q**2 - 11*q**2 - s*q**2 wrt q?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:45 PM and 11:45 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 6 - (-8 + (2 - -14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*n - 207 = 3*z, 2*z + 26*n + 24*n - 2 = 46*n for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 327964 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 + 0 + -2 - -2) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -513*v - 15. What is the tens digit of p(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 9*p**2 - 82*p - 57. Does 47 divide d(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 20221 (base 3) to base 9.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the first derivative of -l**6\/2 - l**4\/2 + 3*l**3 - 40. What is the third derivative of s(c) wrt c?\nAnswer: -180*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -53.3 + -416.7. Let o = z - -469.99276. Round o to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1054.947 decades in millennia?\nAnswer: 10.54947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -11610272, -11610266, -11610254, -11610236, -11610212?\n\"Answer: 3*a**2 - 3*a - 11610272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 6*k + 27, 0*s - 2*s - 3*k = 9. Sort -1, -2, -1\/2, s in descending order.\nAnswer: s, -1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 451799798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -382*b**2 + 796*b**2 - 76*b**2.\nAnswer: 338*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together 28 and 2.868.\nAnswer: 30.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -32*m**2 + 3*m. Let b(r) = 15*r**2 - 3*r. Let y(l) = 17*l**2 - 4*l. Let s(x) = 3*b(x) - 2*y(x). Determine 6*f(j) + 17*s(j).\nAnswer: -5*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = p - 3*x + 3, 2*x - 24 = 4*p - 42 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2074325660 - -4?\nAnswer: -2074325654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5877728 to the nearest integer?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 71007899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + q + 299768 - 91714 = 0, 208057 = 5*z + 2*q. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2\/3 (c) 0.05 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k and 2 b when four letters picked without replacement from {h: 2, k: 3, b: 15}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*g**2 + 310745*g - 65961840.\nAnswer: -5*(g - 61936)*(g - 213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2 + ((-6)\/(-3) - -224). What is the common denominator of -27*5\/16 + 83\/(2490\/180) and 12\/(-7)*(-7)\/p?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*a**3*i**2*o**2*y + 18*a**3*o**2*y - 32*a**2*i*o**2*y - 2*a**2*i*o*y - 2*a**2*o**2 + 2*a*i**2*o**2 wrt a.\nAnswer: -12*i**2*o**2*y + 108*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + 1 + sqrt(3200) + 3 + sqrt(3200) + 1)*2)**2.\nAnswer: 4480*sqrt(2) + 51396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - -10 - (-13 + (-2 - 0) + 84).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -2*n + n. Suppose a + n = -5*f - 4*a, 10 = -5*a. Let x be (-3)\/f + ((-8)\/(-2) - 1). Let t(i) = -5*i + 3. Give t(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 3 = -5*h - 5, 0 = -2*h - d + 7. What is the third derivative of i**2 - 4*i**2 + 3*i**5 + 4*i**h wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 10? (a) 8 (b) 2 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 624 and 168000.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3051*m = 1715*m + 16032 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3\/11 - 128*z**2\/11 + 122*z\/11 + 252\/11.\nAnswer: 2*(z - 63)*(z - 2)*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 2*l. Let s(c) = c**3 - 19*c**2 + 19*c - 9. Let h be s(18). Let o(p) = 0*p - 7*p**2 + 0*p + h*p**2. Give k(o(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 366 = -110. Suppose v = -v + n. Suppose 0 = -m - m + v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 + -52510?\nAnswer: -52511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*s**2 - s**2 + 5 - 6 - s**3 + 16*s)*(2*s - 5*s + 2*s) to the form b + x*s**3 + y*s**4 + v*s**2 + l*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the second derivative of 5*p**4\/4 - 2889*p. Let y(z) = -67*z - 1. Determine l(y(b)).\nAnswer: 67335*b**2 + 2010*b + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.01951 + -1.01951. Which is the closest to 4\/7? (a) x (b) 4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 38727 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -7 + 10*q**2 - 11*q**2 + 7. Let t(j) = 4*j. What is o(t(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -162950 or -162948?\nAnswer: -162950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = s + 9, -3*s = 3*n - 5 + 14. Suppose j = -3*r - 9, 5*r + 7 = -72*j + 73*j. Put s, r, 0, 5 in descending order.\nAnswer: 5, 0, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 3*r**2 + 17*r + 18. Let x be l(-1). Suppose g - 5*c = -18, 3*c - 20 = -2*g - x. Calculate the greatest common factor of g and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -3*t - 2. Let c be z(3). Let u = c + 30. Suppose 0 = -2*o + 4 - 0, -5*q = 2*o - u. Solve -2*f = q - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 838123 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 - 28. Let l be (-224)\/36 - 4\/p. Let w = 13 + l. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -108369*a**2 - 72414 wrt a.\nAnswer: -216738*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the second derivative of -1\/3*h**7 - 16*h + 0*h**5 - 17\/6*h**3 + 0*h**2 + 0*h**6 + 0 + 0*h**4. Find the second derivative of n(r) wrt r.\nAnswer: -280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 198*q**3 + q - 983*q**3 - 2 - q in the form a*q**3 + s*q**2 + c*q + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 43318 and 126374.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the first derivative of g**9\/1512 - g**6\/120 + g**3 + 3. Let s(o) be the third derivative of m(o). What is the third derivative of s(j) wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10124, 10522, 11186, 12116?\nAnswer: 13312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -3*r**2 - 34*r**3 + 81*r**3 + 2*r**2 - r**2 - 181*r**4 - 49*r**3 - r + 5 as v*r**4 + c*r + j*r**2 + q*r**3 + f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000059242 to seven dps.\nAnswer: 0.0000592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 times -5605?\nAnswer: 2802.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-18)\/y**(-7\/4) assuming y is positive.\nAnswer: y**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1*((-16)\/(-56) - (-37)\/(-7)). Factor 39\/2*x**4 - 3\/2*x - 45\/2*x**3 - 6*x**k + 0 + 21\/2*x**2.\nAnswer: -3*x*(x - 1)**3*(4*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -160*z = -155*z - 290. Calculate the least common multiple of z and 4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 10 = 3*n + 4, -3*v - 2*n + 19 = 0. Suppose -3*o = -4*w - 41 + 14, -3*o = v*w. Solve -2*i = s + 8, 2*i + 15 = o*s + i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 699 divide 256969176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0003252132 rounded to seven decimal places?\nAnswer: 0.0003252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find k such that 2 - 20*k**2 + 95*k + 9*k**2 - 2 + 16*k**2 = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 7 - 2)*(1 - 1 - 1 + 5 + 0 - 4 + (1 + 0 + 0)*(0 + 0 - 1) + 1 + 0 - 3)*(-4*n**2 + 9*n - 7*n**2 + 8*n**2).\nAnswer: 36*n**2 - 108*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 76.2 + -76.1999169. What is p rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1173 + 1096 + 1 + 45\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - 2*f = h + 2, h - 5*f = 12. Suppose -k + 3*b = -4, h*k + 2*b + 7 = 3*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -20 + 23. Let u(j) = j**3 + 7*j**2 + 14*j + 14. Let o be u(-2). Solve -o*i - 6 = z - g*i, 0 = 5*i + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -350 + 133 - 42 - 57 - 2*c - 391.\nAnswer: -2*c - 707","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5003*f**3 - 9101*f**3 - 1 - 13855*f**3.\nAnswer: -17953*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) -3\/8 (c) -3\/7 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.2, 1950 in descending order.\nAnswer: 1950, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + j**3 - 6408556*j**2 + 6408530*j**2 + 32*j + 3 + 2 - 1 to t + d*j + u*j**3 + m*j**2 and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 6*l**2 - 36*l. Let d(m) = m**2 - 7*m. Calculate -16*d(s) + 3*f(s).\nAnswer: 2*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*t**2*u*v**3 + t**2*v**3 + 18*t**2 - 2*t*u*v**2 - 23*u*v - 143*v**3 wrt v.\nAnswer: 42*t**2*u + 6*t**2 - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 2*r - 2. Let k = -31 - -33. Let z(b) = -3*b - k + 6 + 0 + 0*b. Give 7*l(m) + 4*z(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**2 - o - 2. Let d(x) = x**2 - 4. Let y be d(4). Suppose 3*h = -2*h + 5*g + 105, 0 = 4*h - 2*g - 82. Suppose -2*k + y = h. Calculate t(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 3*m = -6. Does 2 divide -6*(-3 - (-8)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10254605 is divided by 728.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}